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Finding the Fourth Proportional to 3,472.13, 5,210.76 and 2,550.08

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Solution

The fourth proportional to 3,472.13, 5,210.76 and 2,550.08 is: 3,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.13 : 5,210.76 = 2,550.08 : x
  2. Step 2: Convert to fraction form
    3,472.13/5,210.76 = 2,550.08/x
  3. Step 3: Cross multiply
    3,472.13x = 5,210.76 × 2,550.08
  4. Step 4: Simplify right side
    3,472.13x = 13,287,854.86
  5. Step 5: Solve for x
    x = 13,287,854.86/3,472.13
  6. Step 6: Final answer
    x = 3,827.00

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