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Finding the Fourth Proportional to 4,171.64, 6,255.02 and 1,574.78

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Solution

The fourth proportional to 4,171.64, 6,255.02 and 1,574.78 is: 2,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.64 : 6,255.02 = 1,574.78 : x
  2. Step 2: Convert to fraction form
    4,171.64/6,255.02 = 1,574.78/x
  3. Step 3: Cross multiply
    4,171.64x = 6,255.02 × 1,574.78
  4. Step 4: Simplify right side
    4,171.64x = 9,850,253.06
  5. Step 5: Solve for x
    x = 9,850,253.06/4,171.64
  6. Step 6: Final answer
    x = 2,361.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.