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Finding the Fourth Proportional to 3,856.40, 5,321.80 and 2,264.02

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Solution

The fourth proportional to 3,856.40, 5,321.80 and 2,264.02 is: 3,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.40 : 5,321.80 = 2,264.02 : x
  2. Step 2: Convert to fraction form
    3,856.40/5,321.80 = 2,264.02/x
  3. Step 3: Cross multiply
    3,856.40x = 5,321.80 × 2,264.02
  4. Step 4: Simplify right side
    3,856.40x = 12,048,661.64
  5. Step 5: Solve for x
    x = 12,048,661.64/3,856.40
  6. Step 6: Final answer
    x = 3,124.33

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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.