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Finding the Fourth Proportional to 5,097.46, 7,646.76 and 4,574.24

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Solution

The fourth proportional to 5,097.46, 7,646.76 and 4,574.24 is: 6,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.46 : 7,646.76 = 4,574.24 : x
  2. Step 2: Convert to fraction form
    5,097.46/7,646.76 = 4,574.24/x
  3. Step 3: Cross multiply
    5,097.46x = 7,646.76 × 4,574.24
  4. Step 4: Simplify right side
    5,097.46x = 34,978,115.46
  5. Step 5: Solve for x
    x = 34,978,115.46/5,097.46
  6. Step 6: Final answer
    x = 6,861.87

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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.