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Finding the Fourth Proportional to 5,358.42, 7,395.17 and 3,000.65

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Solution

The fourth proportional to 5,358.42, 7,395.17 and 3,000.65 is: 4,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.42 : 7,395.17 = 3,000.65 : x
  2. Step 2: Convert to fraction form
    5,358.42/7,395.17 = 3,000.65/x
  3. Step 3: Cross multiply
    5,358.42x = 7,395.17 × 3,000.65
  4. Step 4: Simplify right side
    5,358.42x = 22,190,264.88
  5. Step 5: Solve for x
    x = 22,190,264.88/5,358.42
  6. Step 6: Final answer
    x = 4,141.20

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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.