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Finding the Fourth Proportional to 3,237.48, 4,856.37 and 1,158.47

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Solution

The fourth proportional to 3,237.48, 4,856.37 and 1,158.47 is: 1,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.48 : 4,856.37 = 1,158.47 : x
  2. Step 2: Convert to fraction form
    3,237.48/4,856.37 = 1,158.47/x
  3. Step 3: Cross multiply
    3,237.48x = 4,856.37 × 1,158.47
  4. Step 4: Simplify right side
    3,237.48x = 5,625,928.88
  5. Step 5: Solve for x
    x = 5,625,928.88/3,237.48
  6. Step 6: Final answer
    x = 1,737.75

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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.