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Finding the Fourth Proportional to 4,275.60, 6,408.82 and 2,193.40

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Solution

The fourth proportional to 4,275.60, 6,408.82 and 2,193.40 is: 3,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.60 : 6,408.82 = 2,193.40 : x
  2. Step 2: Convert to fraction form
    4,275.60/6,408.82 = 2,193.40/x
  3. Step 3: Cross multiply
    4,275.60x = 6,408.82 × 2,193.40
  4. Step 4: Simplify right side
    4,275.60x = 14,057,105.79
  5. Step 5: Solve for x
    x = 14,057,105.79/4,275.60
  6. Step 6: Final answer
    x = 3,287.75

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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.