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Finding the Fourth Proportional to 5,781.58, 8,672.34 and 1,399.06

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Solution

The fourth proportional to 5,781.58, 8,672.34 and 1,399.06 is: 2,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.58 : 8,672.34 = 1,399.06 : x
  2. Step 2: Convert to fraction form
    5,781.58/8,672.34 = 1,399.06/x
  3. Step 3: Cross multiply
    5,781.58x = 8,672.34 × 1,399.06
  4. Step 4: Simplify right side
    5,781.58x = 12,133,124.00
  5. Step 5: Solve for x
    x = 12,133,124.00/5,781.58
  6. Step 6: Final answer
    x = 2,098.58

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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.