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Finding the Fourth Proportional to 4,594.48, 6,894.01 and 1,821.10

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Solution

The fourth proportional to 4,594.48, 6,894.01 and 1,821.10 is: 2,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.48 : 6,894.01 = 1,821.10 : x
  2. Step 2: Convert to fraction form
    4,594.48/6,894.01 = 1,821.10/x
  3. Step 3: Cross multiply
    4,594.48x = 6,894.01 × 1,821.10
  4. Step 4: Simplify right side
    4,594.48x = 12,554,651.21
  5. Step 5: Solve for x
    x = 12,554,651.21/4,594.48
  6. Step 6: Final answer
    x = 2,732.55

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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.