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Finding the Fourth Proportional to 4,275.99, 6,414.66 and 1,354.98

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Solution

The fourth proportional to 4,275.99, 6,414.66 and 1,354.98 is: 2,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.99 : 6,414.66 = 1,354.98 : x
  2. Step 2: Convert to fraction form
    4,275.99/6,414.66 = 1,354.98/x
  3. Step 3: Cross multiply
    4,275.99x = 6,414.66 × 1,354.98
  4. Step 4: Simplify right side
    4,275.99x = 8,691,736.01
  5. Step 5: Solve for x
    x = 8,691,736.01/4,275.99
  6. Step 6: Final answer
    x = 2,032.68

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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.