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Finding the Fourth Proportional to 3,871.15, 5,806.77 and 1,530.14

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Solution

The fourth proportional to 3,871.15, 5,806.77 and 1,530.14 is: 2,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.15 : 5,806.77 = 1,530.14 : x
  2. Step 2: Convert to fraction form
    3,871.15/5,806.77 = 1,530.14/x
  3. Step 3: Cross multiply
    3,871.15x = 5,806.77 × 1,530.14
  4. Step 4: Simplify right side
    3,871.15x = 8,885,185.56
  5. Step 5: Solve for x
    x = 8,885,185.56/3,871.15
  6. Step 6: Final answer
    x = 2,295.23

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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.