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Finding the Fourth Proportional to 4,654.74, 6,424.32 and 4,500.91

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Solution

The fourth proportional to 4,654.74, 6,424.32 and 4,500.91 is: 6,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.74 : 6,424.32 = 4,500.91 : x
  2. Step 2: Convert to fraction form
    4,654.74/6,424.32 = 4,500.91/x
  3. Step 3: Cross multiply
    4,654.74x = 6,424.32 × 4,500.91
  4. Step 4: Simplify right side
    4,654.74x = 28,915,286.13
  5. Step 5: Solve for x
    x = 28,915,286.13/4,654.74
  6. Step 6: Final answer
    x = 6,212.01

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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.