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Finding the Fourth Proportional to 3,713.93, 5,569.99 and 1,523.29

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Solution

The fourth proportional to 3,713.93, 5,569.99 and 1,523.29 is: 2,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.93 : 5,569.99 = 1,523.29 : x
  2. Step 2: Convert to fraction form
    3,713.93/5,569.99 = 1,523.29/x
  3. Step 3: Cross multiply
    3,713.93x = 5,569.99 × 1,523.29
  4. Step 4: Simplify right side
    3,713.93x = 8,484,692.33
  5. Step 5: Solve for x
    x = 8,484,692.33/3,713.93
  6. Step 6: Final answer
    x = 2,284.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.