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Finding the Fourth Proportional to 4,197.48, 6,296.24 and 1,275.76

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Solution

The fourth proportional to 4,197.48, 6,296.24 and 1,275.76 is: 1,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.48 : 6,296.24 = 1,275.76 : x
  2. Step 2: Convert to fraction form
    4,197.48/6,296.24 = 1,275.76/x
  3. Step 3: Cross multiply
    4,197.48x = 6,296.24 × 1,275.76
  4. Step 4: Simplify right side
    4,197.48x = 8,032,491.14
  5. Step 5: Solve for x
    x = 8,032,491.14/4,197.48
  6. Step 6: Final answer
    x = 1,913.65

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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.