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Finding the Fourth Proportional to 3,806.91, 5,710.35 and 1,341.17

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Solution

The fourth proportional to 3,806.91, 5,710.35 and 1,341.17 is: 2,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.91 : 5,710.35 = 1,341.17 : x
  2. Step 2: Convert to fraction form
    3,806.91/5,710.35 = 1,341.17/x
  3. Step 3: Cross multiply
    3,806.91x = 5,710.35 × 1,341.17
  4. Step 4: Simplify right side
    3,806.91x = 7,658,521.56
  5. Step 5: Solve for x
    x = 7,658,521.56/3,806.91
  6. Step 6: Final answer
    x = 2,011.74

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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.