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Finding the Fourth Proportional to 6,464.57, 8,920.58 and 3,631.79

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Solution

The fourth proportional to 6,464.57, 8,920.58 and 3,631.79 is: 5,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.57 : 8,920.58 = 3,631.79 : x
  2. Step 2: Convert to fraction form
    6,464.57/8,920.58 = 3,631.79/x
  3. Step 3: Cross multiply
    6,464.57x = 8,920.58 × 3,631.79
  4. Step 4: Simplify right side
    6,464.57x = 32,397,641.86
  5. Step 5: Solve for x
    x = 32,397,641.86/6,464.57
  6. Step 6: Final answer
    x = 5,011.57

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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.