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Finding the Fourth Proportional to 4,581.60, 6,872.40 and 4,274.40

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Solution

The fourth proportional to 4,581.60, 6,872.40 and 4,274.40 is: 6,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.60 : 6,872.40 = 4,274.40 : x
  2. Step 2: Convert to fraction form
    4,581.60/6,872.40 = 4,274.40/x
  3. Step 3: Cross multiply
    4,581.60x = 6,872.40 × 4,274.40
  4. Step 4: Simplify right side
    4,581.60x = 29,375,386.56
  5. Step 5: Solve for x
    x = 29,375,386.56/4,581.60
  6. Step 6: Final answer
    x = 6,411.60

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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.