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Finding the Fourth Proportional to 3,753.31, 5,630.04 and 1,156.25

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Solution

The fourth proportional to 3,753.31, 5,630.04 and 1,156.25 is: 1,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.31 : 5,630.04 = 1,156.25 : x
  2. Step 2: Convert to fraction form
    3,753.31/5,630.04 = 1,156.25/x
  3. Step 3: Cross multiply
    3,753.31x = 5,630.04 × 1,156.25
  4. Step 4: Simplify right side
    3,753.31x = 6,509,733.75
  5. Step 5: Solve for x
    x = 6,509,733.75/3,753.31
  6. Step 6: Final answer
    x = 1,734.40

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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.