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Finding the Fourth Proportional to 3,753.76, 5,178.23 and 2,337.22

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Solution

The fourth proportional to 3,753.76, 5,178.23 and 2,337.22 is: 3,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.76 : 5,178.23 = 2,337.22 : x
  2. Step 2: Convert to fraction form
    3,753.76/5,178.23 = 2,337.22/x
  3. Step 3: Cross multiply
    3,753.76x = 5,178.23 × 2,337.22
  4. Step 4: Simplify right side
    3,753.76x = 12,102,666.27
  5. Step 5: Solve for x
    x = 12,102,666.27/3,753.76
  6. Step 6: Final answer
    x = 3,224.15

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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.