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Finding the Fourth Proportional to 4,752.86, 7,132.23 and 2,287.91

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Solution

The fourth proportional to 4,752.86, 7,132.23 and 2,287.91 is: 3,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.86 : 7,132.23 = 2,287.91 : x
  2. Step 2: Convert to fraction form
    4,752.86/7,132.23 = 2,287.91/x
  3. Step 3: Cross multiply
    4,752.86x = 7,132.23 × 2,287.91
  4. Step 4: Simplify right side
    4,752.86x = 16,317,918.17
  5. Step 5: Solve for x
    x = 16,317,918.17/4,752.86
  6. Step 6: Final answer
    x = 3,433.29

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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.