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Finding the Fourth Proportional to 6,506.52, 8,977.68 and 3,854.85

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Solution

The fourth proportional to 6,506.52, 8,977.68 and 3,854.85 is: 5,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.52 : 8,977.68 = 3,854.85 : x
  2. Step 2: Convert to fraction form
    6,506.52/8,977.68 = 3,854.85/x
  3. Step 3: Cross multiply
    6,506.52x = 8,977.68 × 3,854.85
  4. Step 4: Simplify right side
    6,506.52x = 34,607,609.75
  5. Step 5: Solve for x
    x = 34,607,609.75/6,506.52
  6. Step 6: Final answer
    x = 5,318.91

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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.