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Finding the Fourth Proportional to 3,237.82, 4,856.58 and 1,016.60

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Solution

The fourth proportional to 3,237.82, 4,856.58 and 1,016.60 is: 1,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.82 : 4,856.58 = 1,016.60 : x
  2. Step 2: Convert to fraction form
    3,237.82/4,856.58 = 1,016.60/x
  3. Step 3: Cross multiply
    3,237.82x = 4,856.58 × 1,016.60
  4. Step 4: Simplify right side
    3,237.82x = 4,937,174.95
  5. Step 5: Solve for x
    x = 4,937,174.95/3,237.82
  6. Step 6: Final answer
    x = 1,524.85

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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.