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Finding the Fourth Proportional to 5,710.14, 8,567.85 and 2,015.13

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Solution

The fourth proportional to 5,710.14, 8,567.85 and 2,015.13 is: 3,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.14 : 8,567.85 = 2,015.13 : x
  2. Step 2: Convert to fraction form
    5,710.14/8,567.85 = 2,015.13/x
  3. Step 3: Cross multiply
    5,710.14x = 8,567.85 × 2,015.13
  4. Step 4: Simplify right side
    5,710.14x = 17,265,331.57
  5. Step 5: Solve for x
    x = 17,265,331.57/5,710.14
  6. Step 6: Final answer
    x = 3,023.63

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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.