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Finding the Fourth Proportional to 4,787.57, 7,174.98 and 2,317.48

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Solution

The fourth proportional to 4,787.57, 7,174.98 and 2,317.48 is: 3,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.57 : 7,174.98 = 2,317.48 : x
  2. Step 2: Convert to fraction form
    4,787.57/7,174.98 = 2,317.48/x
  3. Step 3: Cross multiply
    4,787.57x = 7,174.98 × 2,317.48
  4. Step 4: Simplify right side
    4,787.57x = 16,627,854.71
  5. Step 5: Solve for x
    x = 16,627,854.71/4,787.57
  6. Step 6: Final answer
    x = 3,473.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.