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Finding the Fourth Proportional to 4,154.40, 5,694.12 and 4,125.60

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Solution

The fourth proportional to 4,154.40, 5,694.12 and 4,125.60 is: 5,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.40 : 5,694.12 = 4,125.60 : x
  2. Step 2: Convert to fraction form
    4,154.40/5,694.12 = 4,125.60/x
  3. Step 3: Cross multiply
    4,154.40x = 5,694.12 × 4,125.60
  4. Step 4: Simplify right side
    4,154.40x = 23,491,661.47
  5. Step 5: Solve for x
    x = 23,491,661.47/4,154.40
  6. Step 6: Final answer
    x = 5,654.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.