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Finding the Fourth Proportional to 3,156.24, 4,737.24 and 2,423.44

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Solution

The fourth proportional to 3,156.24, 4,737.24 and 2,423.44 is: 3,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.24 : 4,737.24 = 2,423.44 : x
  2. Step 2: Convert to fraction form
    3,156.24/4,737.24 = 2,423.44/x
  3. Step 3: Cross multiply
    3,156.24x = 4,737.24 × 2,423.44
  4. Step 4: Simplify right side
    3,156.24x = 11,480,416.91
  5. Step 5: Solve for x
    x = 11,480,416.91/3,156.24
  6. Step 6: Final answer
    x = 3,637.37

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