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Finding the Fourth Proportional to 3,737.78, 5,158.74 and 2,322.30

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Solution

The fourth proportional to 3,737.78, 5,158.74 and 2,322.30 is: 3,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.78 : 5,158.74 = 2,322.30 : x
  2. Step 2: Convert to fraction form
    3,737.78/5,158.74 = 2,322.30/x
  3. Step 3: Cross multiply
    3,737.78x = 5,158.74 × 2,322.30
  4. Step 4: Simplify right side
    3,737.78x = 11,980,156.89
  5. Step 5: Solve for x
    x = 11,980,156.89/3,737.78
  6. Step 6: Final answer
    x = 3,205.15

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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.