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Finding the Fourth Proportional to 4,061.85, 6,092.29 and 1,140.40

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Solution

The fourth proportional to 4,061.85, 6,092.29 and 1,140.40 is: 1,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.85 : 6,092.29 = 1,140.40 : x
  2. Step 2: Convert to fraction form
    4,061.85/6,092.29 = 1,140.40/x
  3. Step 3: Cross multiply
    4,061.85x = 6,092.29 × 1,140.40
  4. Step 4: Simplify right side
    4,061.85x = 6,947,647.52
  5. Step 5: Solve for x
    x = 6,947,647.52/4,061.85
  6. Step 6: Final answer
    x = 1,710.46

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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.