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Finding the Fourth Proportional to 4,742.16, 7,103.16 and 3,575.04

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Solution

The fourth proportional to 4,742.16, 7,103.16 and 3,575.04 is: 5,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.16 : 7,103.16 = 3,575.04 : x
  2. Step 2: Convert to fraction form
    4,742.16/7,103.16 = 3,575.04/x
  3. Step 3: Cross multiply
    4,742.16x = 7,103.16 × 3,575.04
  4. Step 4: Simplify right side
    4,742.16x = 25,394,081.13
  5. Step 5: Solve for x
    x = 25,394,081.13/4,742.16
  6. Step 6: Final answer
    x = 5,354.96

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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.