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Finding the Fourth Proportional to 3,844.64, 5,303.76 and 2,517.76

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Solution

The fourth proportional to 3,844.64, 5,303.76 and 2,517.76 is: 3,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.64 : 5,303.76 = 2,517.76 : x
  2. Step 2: Convert to fraction form
    3,844.64/5,303.76 = 2,517.76/x
  3. Step 3: Cross multiply
    3,844.64x = 5,303.76 × 2,517.76
  4. Step 4: Simplify right side
    3,844.64x = 13,353,594.78
  5. Step 5: Solve for x
    x = 13,353,594.78/3,844.64
  6. Step 6: Final answer
    x = 3,473.30

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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.