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Finding the Fourth Proportional to 4,761.56, 6,564.84 and 3,697.52

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Solution

The fourth proportional to 4,761.56, 6,564.84 and 3,697.52 is: 5,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.56 : 6,564.84 = 3,697.52 : x
  2. Step 2: Convert to fraction form
    4,761.56/6,564.84 = 3,697.52/x
  3. Step 3: Cross multiply
    4,761.56x = 6,564.84 × 3,697.52
  4. Step 4: Simplify right side
    4,761.56x = 24,273,594.37
  5. Step 5: Solve for x
    x = 24,273,594.37/4,761.56
  6. Step 6: Final answer
    x = 5,097.83

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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.