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Finding the Fourth Proportional to 5,868.12, 8,098.44 and 3,875.20

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Solution

The fourth proportional to 5,868.12, 8,098.44 and 3,875.20 is: 5,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.12 : 8,098.44 = 3,875.20 : x
  2. Step 2: Convert to fraction form
    5,868.12/8,098.44 = 3,875.20/x
  3. Step 3: Cross multiply
    5,868.12x = 8,098.44 × 3,875.20
  4. Step 4: Simplify right side
    5,868.12x = 31,383,074.69
  5. Step 5: Solve for x
    x = 31,383,074.69/5,868.12
  6. Step 6: Final answer
    x = 5,348.06

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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.