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Finding the Fourth Proportional to 5,627.04, 7,765.28 and 3,143.04

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Solution

The fourth proportional to 5,627.04, 7,765.28 and 3,143.04 is: 4,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.04 : 7,765.28 = 3,143.04 : x
  2. Step 2: Convert to fraction form
    5,627.04/7,765.28 = 3,143.04/x
  3. Step 3: Cross multiply
    5,627.04x = 7,765.28 × 3,143.04
  4. Step 4: Simplify right side
    5,627.04x = 24,406,585.65
  5. Step 5: Solve for x
    x = 24,406,585.65/5,627.04
  6. Step 6: Final answer
    x = 4,337.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.