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Finding the Fourth Proportional to 4,863.25, 7,294.08 and 1,742.72

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Solution

The fourth proportional to 4,863.25, 7,294.08 and 1,742.72 is: 2,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.25 : 7,294.08 = 1,742.72 : x
  2. Step 2: Convert to fraction form
    4,863.25/7,294.08 = 1,742.72/x
  3. Step 3: Cross multiply
    4,863.25x = 7,294.08 × 1,742.72
  4. Step 4: Simplify right side
    4,863.25x = 12,711,539.10
  5. Step 5: Solve for x
    x = 12,711,539.10/4,863.25
  6. Step 6: Final answer
    x = 2,613.80

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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.