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Finding the Fourth Proportional to 3,806.30, 5,708.10 and 1,341.20

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Solution

The fourth proportional to 3,806.30, 5,708.10 and 1,341.20 is: 2,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.30 : 5,708.10 = 1,341.20 : x
  2. Step 2: Convert to fraction form
    3,806.30/5,708.10 = 1,341.20/x
  3. Step 3: Cross multiply
    3,806.30x = 5,708.10 × 1,341.20
  4. Step 4: Simplify right side
    3,806.30x = 7,655,703.72
  5. Step 5: Solve for x
    x = 7,655,703.72/3,806.30
  6. Step 6: Final answer
    x = 2,011.32

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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.