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Finding the Fourth Proportional to 5,141.88, 7,702.74 and 4,041.18

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Solution

The fourth proportional to 5,141.88, 7,702.74 and 4,041.18 is: 6,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.88 : 7,702.74 = 4,041.18 : x
  2. Step 2: Convert to fraction form
    5,141.88/7,702.74 = 4,041.18/x
  3. Step 3: Cross multiply
    5,141.88x = 7,702.74 × 4,041.18
  4. Step 4: Simplify right side
    5,141.88x = 31,128,158.83
  5. Step 5: Solve for x
    x = 31,128,158.83/5,141.88
  6. Step 6: Final answer
    x = 6,053.85

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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.