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Finding the Fourth Proportional to 3,238.88, 4,856.88 and 1,047.20

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Solution

The fourth proportional to 3,238.88, 4,856.88 and 1,047.20 is: 1,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.88 : 4,856.88 = 1,047.20 : x
  2. Step 2: Convert to fraction form
    3,238.88/4,856.88 = 1,047.20/x
  3. Step 3: Cross multiply
    3,238.88x = 4,856.88 × 1,047.20
  4. Step 4: Simplify right side
    3,238.88x = 5,086,124.74
  5. Step 5: Solve for x
    x = 5,086,124.74/3,238.88
  6. Step 6: Final answer
    x = 1,570.33

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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.