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Finding the Fourth Proportional to 3,848.64, 5,773.76 and 1,251.36

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Solution

The fourth proportional to 3,848.64, 5,773.76 and 1,251.36 is: 1,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.64 : 5,773.76 = 1,251.36 : x
  2. Step 2: Convert to fraction form
    3,848.64/5,773.76 = 1,251.36/x
  3. Step 3: Cross multiply
    3,848.64x = 5,773.76 × 1,251.36
  4. Step 4: Simplify right side
    3,848.64x = 7,225,052.31
  5. Step 5: Solve for x
    x = 7,225,052.31/3,848.64
  6. Step 6: Final answer
    x = 1,877.30

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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.