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Finding the Fourth Proportional to 3,417.19, 4,713.90 and 2,296.20

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Solution

The fourth proportional to 3,417.19, 4,713.90 and 2,296.20 is: 3,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.19 : 4,713.90 = 2,296.20 : x
  2. Step 2: Convert to fraction form
    3,417.19/4,713.90 = 2,296.20/x
  3. Step 3: Cross multiply
    3,417.19x = 4,713.90 × 2,296.20
  4. Step 4: Simplify right side
    3,417.19x = 10,824,039.73
  5. Step 5: Solve for x
    x = 10,824,039.73/3,417.19
  6. Step 6: Final answer
    x = 3,167.53

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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.