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Finding the Fourth Proportional to 3,737.44, 5,606.88 and 1,272.16

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Solution

The fourth proportional to 3,737.44, 5,606.88 and 1,272.16 is: 1,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.44 : 5,606.88 = 1,272.16 : x
  2. Step 2: Convert to fraction form
    3,737.44/5,606.88 = 1,272.16/x
  3. Step 3: Cross multiply
    3,737.44x = 5,606.88 × 1,272.16
  4. Step 4: Simplify right side
    3,737.44x = 7,132,848.46
  5. Step 5: Solve for x
    x = 7,132,848.46/3,737.44
  6. Step 6: Final answer
    x = 1,908.49

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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.