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Finding the Fourth Proportional to 3,156.57, 4,737.29 and 1,400.90

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Solution

The fourth proportional to 3,156.57, 4,737.29 and 1,400.90 is: 2,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.57 : 4,737.29 = 1,400.90 : x
  2. Step 2: Convert to fraction form
    3,156.57/4,737.29 = 1,400.90/x
  3. Step 3: Cross multiply
    3,156.57x = 4,737.29 × 1,400.90
  4. Step 4: Simplify right side
    3,156.57x = 6,636,438.87
  5. Step 5: Solve for x
    x = 6,636,438.87/3,156.57
  6. Step 6: Final answer
    x = 2,102.42

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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.