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Finding the Fourth Proportional to 5,359.80, 8,030.25 and 4,694.25

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Solution

The fourth proportional to 5,359.80, 8,030.25 and 4,694.25 is: 7,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.80 : 8,030.25 = 4,694.25 : x
  2. Step 2: Convert to fraction form
    5,359.80/8,030.25 = 4,694.25/x
  3. Step 3: Cross multiply
    5,359.80x = 8,030.25 × 4,694.25
  4. Step 4: Simplify right side
    5,359.80x = 37,696,001.06
  5. Step 5: Solve for x
    x = 37,696,001.06/5,359.80
  6. Step 6: Final answer
    x = 7,033.10

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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.