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Finding the Fourth Proportional to 5,700.90, 7,865.43 and 3,182.61

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Solution

The fourth proportional to 5,700.90, 7,865.43 and 3,182.61 is: 4,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.90 : 7,865.43 = 3,182.61 : x
  2. Step 2: Convert to fraction form
    5,700.90/7,865.43 = 3,182.61/x
  3. Step 3: Cross multiply
    5,700.90x = 7,865.43 × 3,182.61
  4. Step 4: Simplify right side
    5,700.90x = 25,032,596.17
  5. Step 5: Solve for x
    x = 25,032,596.17/5,700.90
  6. Step 6: Final answer
    x = 4,390.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.