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Finding the Fourth Proportional to 3,113.43, 4,296.18 and 1,715.91

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Solution

The fourth proportional to 3,113.43, 4,296.18 and 1,715.91 is: 2,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.43 : 4,296.18 = 1,715.91 : x
  2. Step 2: Convert to fraction form
    3,113.43/4,296.18 = 1,715.91/x
  3. Step 3: Cross multiply
    3,113.43x = 4,296.18 × 1,715.91
  4. Step 4: Simplify right side
    3,113.43x = 7,371,858.22
  5. Step 5: Solve for x
    x = 7,371,858.22/3,113.43
  6. Step 6: Final answer
    x = 2,367.76

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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.