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Finding the Fourth Proportional to 4,092, 6,140.46 and 1,495.20

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Solution

The fourth proportional to 4,092, 6,140.46 and 1,495.20 is: 2,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092 : 6,140.46 = 1,495.20 : x
  2. Step 2: Convert to fraction form
    4,092/6,140.46 = 1,495.20/x
  3. Step 3: Cross multiply
    4,092x = 6,140.46 × 1,495.20
  4. Step 4: Simplify right side
    4,092x = 9,181,215.79
  5. Step 5: Solve for x
    x = 9,181,215.79/4,092
  6. Step 6: Final answer
    x = 2,243.70

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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.