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Finding the Fourth Proportional to 3,236.16, 4,854.24 and 1,289.28

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Solution

The fourth proportional to 3,236.16, 4,854.24 and 1,289.28 is: 1,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.16 : 4,854.24 = 1,289.28 : x
  2. Step 2: Convert to fraction form
    3,236.16/4,854.24 = 1,289.28/x
  3. Step 3: Cross multiply
    3,236.16x = 4,854.24 × 1,289.28
  4. Step 4: Simplify right side
    3,236.16x = 6,258,474.55
  5. Step 5: Solve for x
    x = 6,258,474.55/3,236.16
  6. Step 6: Final answer
    x = 1,933.92

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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.