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Finding the Fourth Proportional to 4,062, 6,092.97 and 1,140.31

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Solution

The fourth proportional to 4,062, 6,092.97 and 1,140.31 is: 1,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062 : 6,092.97 = 1,140.31 : x
  2. Step 2: Convert to fraction form
    4,062/6,092.97 = 1,140.31/x
  3. Step 3: Cross multiply
    4,062x = 6,092.97 × 1,140.31
  4. Step 4: Simplify right side
    4,062x = 6,947,844.16
  5. Step 5: Solve for x
    x = 6,947,844.16/4,062
  6. Step 6: Final answer
    x = 1,710.45

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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.