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Finding the Fourth Proportional to 6,158.20, 9,186.40 and 5,429.20

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Solution

The fourth proportional to 6,158.20, 9,186.40 and 5,429.20 is: 8,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.20 : 9,186.40 = 5,429.20 : x
  2. Step 2: Convert to fraction form
    6,158.20/9,186.40 = 5,429.20/x
  3. Step 3: Cross multiply
    6,158.20x = 9,186.40 × 5,429.20
  4. Step 4: Simplify right side
    6,158.20x = 49,874,802.88
  5. Step 5: Solve for x
    x = 49,874,802.88/6,158.20
  6. Step 6: Final answer
    x = 8,098.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.