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Finding the Fourth Proportional to 4,197, 6,295.76 and 1,275.52

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Solution

The fourth proportional to 4,197, 6,295.76 and 1,275.52 is: 1,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 6,295.76 = 1,275.52 : x
  2. Step 2: Convert to fraction form
    4,197/6,295.76 = 1,275.52/x
  3. Step 3: Cross multiply
    4,197x = 6,295.76 × 1,275.52
  4. Step 4: Simplify right side
    4,197x = 8,030,367.80
  5. Step 5: Solve for x
    x = 8,030,367.80/4,197
  6. Step 6: Final answer
    x = 1,913.36

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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.