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Finding the Fourth Proportional to 3,717.76, 5,577.12 and 1,120.24

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Solution

The fourth proportional to 3,717.76, 5,577.12 and 1,120.24 is: 1,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.76 : 5,577.12 = 1,120.24 : x
  2. Step 2: Convert to fraction form
    3,717.76/5,577.12 = 1,120.24/x
  3. Step 3: Cross multiply
    3,717.76x = 5,577.12 × 1,120.24
  4. Step 4: Simplify right side
    3,717.76x = 6,247,712.91
  5. Step 5: Solve for x
    x = 6,247,712.91/3,717.76
  6. Step 6: Final answer
    x = 1,680.50

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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.