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Finding the Fourth Proportional to 3,731.49, 5,597.52 and 1,134.63

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Solution

The fourth proportional to 3,731.49, 5,597.52 and 1,134.63 is: 1,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.49 : 5,597.52 = 1,134.63 : x
  2. Step 2: Convert to fraction form
    3,731.49/5,597.52 = 1,134.63/x
  3. Step 3: Cross multiply
    3,731.49x = 5,597.52 × 1,134.63
  4. Step 4: Simplify right side
    3,731.49x = 6,351,114.12
  5. Step 5: Solve for x
    x = 6,351,114.12/3,731.49
  6. Step 6: Final answer
    x = 1,702.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.