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Finding the Fourth Proportional to 5,947.49, 8,188.80 and 4,526.62

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Solution

The fourth proportional to 5,947.49, 8,188.80 and 4,526.62 is: 6,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.49 : 8,188.80 = 4,526.62 : x
  2. Step 2: Convert to fraction form
    5,947.49/8,188.80 = 4,526.62/x
  3. Step 3: Cross multiply
    5,947.49x = 8,188.80 × 4,526.62
  4. Step 4: Simplify right side
    5,947.49x = 37,067,585.86
  5. Step 5: Solve for x
    x = 37,067,585.86/5,947.49
  6. Step 6: Final answer
    x = 6,232.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.