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Finding the Fourth Proportional to 3,872.64, 5,809.50 and 1,275.24

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Solution

The fourth proportional to 3,872.64, 5,809.50 and 1,275.24 is: 1,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.64 : 5,809.50 = 1,275.24 : x
  2. Step 2: Convert to fraction form
    3,872.64/5,809.50 = 1,275.24/x
  3. Step 3: Cross multiply
    3,872.64x = 5,809.50 × 1,275.24
  4. Step 4: Simplify right side
    3,872.64x = 7,408,506.78
  5. Step 5: Solve for x
    x = 7,408,506.78/3,872.64
  6. Step 6: Final answer
    x = 1,913.04

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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.