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Finding the Fourth Proportional to 4,327.74, 5,970.15 and 4,160.07

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Solution

The fourth proportional to 4,327.74, 5,970.15 and 4,160.07 is: 5,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.74 : 5,970.15 = 4,160.07 : x
  2. Step 2: Convert to fraction form
    4,327.74/5,970.15 = 4,160.07/x
  3. Step 3: Cross multiply
    4,327.74x = 5,970.15 × 4,160.07
  4. Step 4: Simplify right side
    4,327.74x = 24,836,241.91
  5. Step 5: Solve for x
    x = 24,836,241.91/4,327.74
  6. Step 6: Final answer
    x = 5,738.85

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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.