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Finding the Fourth Proportional to 4,378.56, 6,568.08 and 1,781.76

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Solution

The fourth proportional to 4,378.56, 6,568.08 and 1,781.76 is: 2,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.56 : 6,568.08 = 1,781.76 : x
  2. Step 2: Convert to fraction form
    4,378.56/6,568.08 = 1,781.76/x
  3. Step 3: Cross multiply
    4,378.56x = 6,568.08 × 1,781.76
  4. Step 4: Simplify right side
    4,378.56x = 11,702,742.22
  5. Step 5: Solve for x
    x = 11,702,742.22/4,378.56
  6. Step 6: Final answer
    x = 2,672.74

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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.