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Finding the Fourth Proportional to 3,472.91, 4,787.62 and 2,476.45

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Solution

The fourth proportional to 3,472.91, 4,787.62 and 2,476.45 is: 3,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.91 : 4,787.62 = 2,476.45 : x
  2. Step 2: Convert to fraction form
    3,472.91/4,787.62 = 2,476.45/x
  3. Step 3: Cross multiply
    3,472.91x = 4,787.62 × 2,476.45
  4. Step 4: Simplify right side
    3,472.91x = 11,856,301.55
  5. Step 5: Solve for x
    x = 11,856,301.55/3,472.91
  6. Step 6: Final answer
    x = 3,413.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.