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Finding the Fourth Proportional to 4,196.85, 6,294.85 and 1,275.18

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Solution

The fourth proportional to 4,196.85, 6,294.85 and 1,275.18 is: 1,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.85 : 6,294.85 = 1,275.18 : x
  2. Step 2: Convert to fraction form
    4,196.85/6,294.85 = 1,275.18/x
  3. Step 3: Cross multiply
    4,196.85x = 6,294.85 × 1,275.18
  4. Step 4: Simplify right side
    4,196.85x = 8,027,066.82
  5. Step 5: Solve for x
    x = 8,027,066.82/4,196.85
  6. Step 6: Final answer
    x = 1,912.64

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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.