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Finding the Fourth Proportional to 4,660.34, 6,458.96 and 4,572.86

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Solution

The fourth proportional to 4,660.34, 6,458.96 and 4,572.86 is: 6,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.34 : 6,458.96 = 4,572.86 : x
  2. Step 2: Convert to fraction form
    4,660.34/6,458.96 = 4,572.86/x
  3. Step 3: Cross multiply
    4,660.34x = 6,458.96 × 4,572.86
  4. Step 4: Simplify right side
    4,660.34x = 29,535,919.83
  5. Step 5: Solve for x
    x = 29,535,919.83/4,660.34
  6. Step 6: Final answer
    x = 6,337.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.