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Finding the Fourth Proportional to 4,742.79, 7,104.65 and 2,363.69

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Solution

The fourth proportional to 4,742.79, 7,104.65 and 2,363.69 is: 3,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.79 : 7,104.65 = 2,363.69 : x
  2. Step 2: Convert to fraction form
    4,742.79/7,104.65 = 2,363.69/x
  3. Step 3: Cross multiply
    4,742.79x = 7,104.65 × 2,363.69
  4. Step 4: Simplify right side
    4,742.79x = 16,793,190.16
  5. Step 5: Solve for x
    x = 16,793,190.16/4,742.79
  6. Step 6: Final answer
    x = 3,540.78

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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.