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Finding the Fourth Proportional to 4,752.92, 7,129.38 and 4,505.06

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Solution

The fourth proportional to 4,752.92, 7,129.38 and 4,505.06 is: 6,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.92 : 7,129.38 = 4,505.06 : x
  2. Step 2: Convert to fraction form
    4,752.92/7,129.38 = 4,505.06/x
  3. Step 3: Cross multiply
    4,752.92x = 7,129.38 × 4,505.06
  4. Step 4: Simplify right side
    4,752.92x = 32,118,284.66
  5. Step 5: Solve for x
    x = 32,118,284.66/4,752.92
  6. Step 6: Final answer
    x = 6,757.59

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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.