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Finding the Fourth Proportional to 3,188.04, 4,398.84 and 1,861.68

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Solution

The fourth proportional to 3,188.04, 4,398.84 and 1,861.68 is: 2,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.04 : 4,398.84 = 1,861.68 : x
  2. Step 2: Convert to fraction form
    3,188.04/4,398.84 = 1,861.68/x
  3. Step 3: Cross multiply
    3,188.04x = 4,398.84 × 1,861.68
  4. Step 4: Simplify right side
    3,188.04x = 8,189,232.45
  5. Step 5: Solve for x
    x = 8,189,232.45/3,188.04
  6. Step 6: Final answer
    x = 2,568.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.