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Finding the Fourth Proportional to 4,689.57, 6,455.17 and 4,246.70

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Solution

The fourth proportional to 4,689.57, 6,455.17 and 4,246.70 is: 5,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.57 : 6,455.17 = 4,246.70 : x
  2. Step 2: Convert to fraction form
    4,689.57/6,455.17 = 4,246.70/x
  3. Step 3: Cross multiply
    4,689.57x = 6,455.17 × 4,246.70
  4. Step 4: Simplify right side
    4,689.57x = 27,413,170.44
  5. Step 5: Solve for x
    x = 27,413,170.44/4,689.57
  6. Step 6: Final answer
    x = 5,845.56

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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.