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Finding the Fourth Proportional to 3,737.88, 5,158.22 and 2,165.94

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Solution

The fourth proportional to 3,737.88, 5,158.22 and 2,165.94 is: 2,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.88 : 5,158.22 = 2,165.94 : x
  2. Step 2: Convert to fraction form
    3,737.88/5,158.22 = 2,165.94/x
  3. Step 3: Cross multiply
    3,737.88x = 5,158.22 × 2,165.94
  4. Step 4: Simplify right side
    3,737.88x = 11,172,384.20
  5. Step 5: Solve for x
    x = 11,172,384.20/3,737.88
  6. Step 6: Final answer
    x = 2,988.96

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1.5x scale

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.