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Finding the Fourth Proportional to 3,238.93, 4,856.68 and 1,047.39

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Solution

The fourth proportional to 3,238.93, 4,856.68 and 1,047.39 is: 1,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.93 : 4,856.68 = 1,047.39 : x
  2. Step 2: Convert to fraction form
    3,238.93/4,856.68 = 1,047.39/x
  3. Step 3: Cross multiply
    3,238.93x = 4,856.68 × 1,047.39
  4. Step 4: Simplify right side
    3,238.93x = 5,086,838.07
  5. Step 5: Solve for x
    x = 5,086,838.07/3,238.93
  6. Step 6: Final answer
    x = 1,570.53

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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.