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Finding the Fourth Proportional to 3,731.76, 5,597.76 and 1,134.72

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Solution

The fourth proportional to 3,731.76, 5,597.76 and 1,134.72 is: 1,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.76 : 5,597.76 = 1,134.72 : x
  2. Step 2: Convert to fraction form
    3,731.76/5,597.76 = 1,134.72/x
  3. Step 3: Cross multiply
    3,731.76x = 5,597.76 × 1,134.72
  4. Step 4: Simplify right side
    3,731.76x = 6,351,890.23
  5. Step 5: Solve for x
    x = 6,351,890.23/3,731.76
  6. Step 6: Final answer
    x = 1,702.12

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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.