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Finding the Fourth Proportional to 4,061.16, 6,092.66 and 1,288

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Solution

The fourth proportional to 4,061.16, 6,092.66 and 1,288 is: 1,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.16 : 6,092.66 = 1,288 : x
  2. Step 2: Convert to fraction form
    4,061.16/6,092.66 = 1,288/x
  3. Step 3: Cross multiply
    4,061.16x = 6,092.66 × 1,288
  4. Step 4: Simplify right side
    4,061.16x = 7,847,346.08
  5. Step 5: Solve for x
    x = 7,847,346.08/4,061.16
  6. Step 6: Final answer
    x = 1,932.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.