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Finding the Fourth Proportional to 4,061.56, 6,092.58 and 1,288.18

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Solution

The fourth proportional to 4,061.56, 6,092.58 and 1,288.18 is: 1,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.56 : 6,092.58 = 1,288.18 : x
  2. Step 2: Convert to fraction form
    4,061.56/6,092.58 = 1,288.18/x
  3. Step 3: Cross multiply
    4,061.56x = 6,092.58 × 1,288.18
  4. Step 4: Simplify right side
    4,061.56x = 7,848,339.70
  5. Step 5: Solve for x
    x = 7,848,339.70/4,061.56
  6. Step 6: Final answer
    x = 1,932.35

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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.