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Finding the Fourth Proportional to 4,762.82, 7,129.88 and 2,564.90

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Solution

The fourth proportional to 4,762.82, 7,129.88 and 2,564.90 is: 3,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.82 : 7,129.88 = 2,564.90 : x
  2. Step 2: Convert to fraction form
    4,762.82/7,129.88 = 2,564.90/x
  3. Step 3: Cross multiply
    4,762.82x = 7,129.88 × 2,564.90
  4. Step 4: Simplify right side
    4,762.82x = 18,287,429.21
  5. Step 5: Solve for x
    x = 18,287,429.21/4,762.82
  6. Step 6: Final answer
    x = 3,839.62

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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.