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Finding the Fourth Proportional to 3,498.37, 5,247.38 and 865.86

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Solution

The fourth proportional to 3,498.37, 5,247.38 and 865.86 is: 1,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.37 : 5,247.38 = 865.86 : x
  2. Step 2: Convert to fraction form
    3,498.37/5,247.38 = 865.86/x
  3. Step 3: Cross multiply
    3,498.37x = 5,247.38 × 865.86
  4. Step 4: Simplify right side
    3,498.37x = 4,543,496.45
  5. Step 5: Solve for x
    x = 4,543,496.45/3,498.37
  6. Step 6: Final answer
    x = 1,298.75

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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.