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Finding the Fourth Proportional to 3,247.86, 4,869.36 and 1,785

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Solution

The fourth proportional to 3,247.86, 4,869.36 and 1,785 is: 2,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.86 : 4,869.36 = 1,785 : x
  2. Step 2: Convert to fraction form
    3,247.86/4,869.36 = 1,785/x
  3. Step 3: Cross multiply
    3,247.86x = 4,869.36 × 1,785
  4. Step 4: Simplify right side
    3,247.86x = 8,691,807.60
  5. Step 5: Solve for x
    x = 8,691,807.60/3,247.86
  6. Step 6: Final answer
    x = 2,676.16

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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.