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Finding the Fourth Proportional to 4,657.43, 6,987.20 and 2,465.71

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Solution

The fourth proportional to 4,657.43, 6,987.20 and 2,465.71 is: 3,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.43 : 6,987.20 = 2,465.71 : x
  2. Step 2: Convert to fraction form
    4,657.43/6,987.20 = 2,465.71/x
  3. Step 3: Cross multiply
    4,657.43x = 6,987.20 × 2,465.71
  4. Step 4: Simplify right side
    4,657.43x = 17,228,379.12
  5. Step 5: Solve for x
    x = 17,228,379.12/4,657.43
  6. Step 6: Final answer
    x = 3,699.12

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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.