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Finding the Fourth Proportional to 3,713.25, 5,565 and 2,070.57

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Solution

The fourth proportional to 3,713.25, 5,565 and 2,070.57 is: 3,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.25 : 5,565 = 2,070.57 : x
  2. Step 2: Convert to fraction form
    3,713.25/5,565 = 2,070.57/x
  3. Step 3: Cross multiply
    3,713.25x = 5,565 × 2,070.57
  4. Step 4: Simplify right side
    3,713.25x = 11,522,722.05
  5. Step 5: Solve for x
    x = 11,522,722.05/3,713.25
  6. Step 6: Final answer
    x = 3,103.14

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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.