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Finding the Fourth Proportional to 3,927.79, 5,890.12 and 1,587.33

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Solution

The fourth proportional to 3,927.79, 5,890.12 and 1,587.33 is: 2,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.79 : 5,890.12 = 1,587.33 : x
  2. Step 2: Convert to fraction form
    3,927.79/5,890.12 = 1,587.33/x
  3. Step 3: Cross multiply
    3,927.79x = 5,890.12 × 1,587.33
  4. Step 4: Simplify right side
    3,927.79x = 9,349,560.21
  5. Step 5: Solve for x
    x = 9,349,560.21/3,927.79
  6. Step 6: Final answer
    x = 2,380.36

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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.