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Finding the Fourth Proportional to 5,101.32, 7,653.06 and 1,591.23

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Solution

The fourth proportional to 5,101.32, 7,653.06 and 1,591.23 is: 2,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.32 : 7,653.06 = 1,591.23 : x
  2. Step 2: Convert to fraction form
    5,101.32/7,653.06 = 1,591.23/x
  3. Step 3: Cross multiply
    5,101.32x = 7,653.06 × 1,591.23
  4. Step 4: Simplify right side
    5,101.32x = 12,177,778.66
  5. Step 5: Solve for x
    x = 12,177,778.66/5,101.32
  6. Step 6: Final answer
    x = 2,387.18

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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.