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Finding the Fourth Proportional to 3,310.65, 4,565.25 and 2,470.02

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Solution

The fourth proportional to 3,310.65, 4,565.25 and 2,470.02 is: 3,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.65 : 4,565.25 = 2,470.02 : x
  2. Step 2: Convert to fraction form
    3,310.65/4,565.25 = 2,470.02/x
  3. Step 3: Cross multiply
    3,310.65x = 4,565.25 × 2,470.02
  4. Step 4: Simplify right side
    3,310.65x = 11,276,251.05
  5. Step 5: Solve for x
    x = 11,276,251.05/3,310.65
  6. Step 6: Final answer
    x = 3,406.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.