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Finding the Fourth Proportional to 3,731.76, 5,598.12 and 1,134.32

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Solution

The fourth proportional to 3,731.76, 5,598.12 and 1,134.32 is: 1,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.76 : 5,598.12 = 1,134.32 : x
  2. Step 2: Convert to fraction form
    3,731.76/5,598.12 = 1,134.32/x
  3. Step 3: Cross multiply
    3,731.76x = 5,598.12 × 1,134.32
  4. Step 4: Simplify right side
    3,731.76x = 6,350,059.48
  5. Step 5: Solve for x
    x = 6,350,059.48/3,731.76
  6. Step 6: Final answer
    x = 1,701.63

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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.