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Finding the Fourth Proportional to 3,870.96, 5,809.68 and 3,508.08

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Solution

The fourth proportional to 3,870.96, 5,809.68 and 3,508.08 is: 5,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.96 : 5,809.68 = 3,508.08 : x
  2. Step 2: Convert to fraction form
    3,870.96/5,809.68 = 3,508.08/x
  3. Step 3: Cross multiply
    3,870.96x = 5,809.68 × 3,508.08
  4. Step 4: Simplify right side
    3,870.96x = 20,380,822.21
  5. Step 5: Solve for x
    x = 20,380,822.21/3,870.96
  6. Step 6: Final answer
    x = 5,265.06

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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.