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Finding the Fourth Proportional to 3,287,296.74, 4,932,052.52 and 2,071,461.63

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Solution

The fourth proportional to 3,287,296.74, 4,932,052.52 and 2,071,461.63 is: 3,107,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,296.74 : 4,932,052.52 = 2,071,461.63 : x
  2. Step 2: Convert to fraction form
    3,287,296.74/4,932,052.52 = 2,071,461.63/x
  3. Step 3: Cross multiply
    3,287,296.74x = 4,932,052.52 × 2,071,461.63
  4. Step 4: Simplify right side
    3,287,296.74x = 10,216,557,541,967.50
  5. Step 5: Solve for x
    x = 10,216,557,541,967.50/3,287,296.74
  6. Step 6: Final answer
    x = 3,107,890.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.