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Finding the Fourth Proportional to 5,875.96, 8,107.14 and 3,885.80

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Solution

The fourth proportional to 5,875.96, 8,107.14 and 3,885.80 is: 5,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.96 : 8,107.14 = 3,885.80 : x
  2. Step 2: Convert to fraction form
    5,875.96/8,107.14 = 3,885.80/x
  3. Step 3: Cross multiply
    5,875.96x = 8,107.14 × 3,885.80
  4. Step 4: Simplify right side
    5,875.96x = 31,502,724.61
  5. Step 5: Solve for x
    x = 31,502,724.61/5,875.96
  6. Step 6: Final answer
    x = 5,361.29

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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.