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Finding the Fourth Proportional to 3,711.98, 5,124.38 and 2,870.78

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Solution

The fourth proportional to 3,711.98, 5,124.38 and 2,870.78 is: 3,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.98 : 5,124.38 = 2,870.78 : x
  2. Step 2: Convert to fraction form
    3,711.98/5,124.38 = 2,870.78/x
  3. Step 3: Cross multiply
    3,711.98x = 5,124.38 × 2,870.78
  4. Step 4: Simplify right side
    3,711.98x = 14,710,967.62
  5. Step 5: Solve for x
    x = 14,710,967.62/3,711.98
  6. Step 6: Final answer
    x = 3,963.11

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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.