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Finding the Fourth Proportional to 5,915.60, 8,164.07 and 4,125.68

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Solution

The fourth proportional to 5,915.60, 8,164.07 and 4,125.68 is: 5,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.60 : 8,164.07 = 4,125.68 : x
  2. Step 2: Convert to fraction form
    5,915.60/8,164.07 = 4,125.68/x
  3. Step 3: Cross multiply
    5,915.60x = 8,164.07 × 4,125.68
  4. Step 4: Simplify right side
    5,915.60x = 33,682,309.48
  5. Step 5: Solve for x
    x = 33,682,309.48/5,915.60
  6. Step 6: Final answer
    x = 5,693.81

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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.