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Finding the Fourth Proportional to 3,117.47, 4,302.10 and 1,791.27

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Solution

The fourth proportional to 3,117.47, 4,302.10 and 1,791.27 is: 2,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.47 : 4,302.10 = 1,791.27 : x
  2. Step 2: Convert to fraction form
    3,117.47/4,302.10 = 1,791.27/x
  3. Step 3: Cross multiply
    3,117.47x = 4,302.10 × 1,791.27
  4. Step 4: Simplify right side
    3,117.47x = 7,706,222.67
  5. Step 5: Solve for x
    x = 7,706,222.67/3,117.47
  6. Step 6: Final answer
    x = 2,471.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.