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Finding the Fourth Proportional to 5,693.23, 7,856.70 and 3,175.50

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Solution

The fourth proportional to 5,693.23, 7,856.70 and 3,175.50 is: 4,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.23 : 7,856.70 = 3,175.50 : x
  2. Step 2: Convert to fraction form
    5,693.23/7,856.70 = 3,175.50/x
  3. Step 3: Cross multiply
    5,693.23x = 7,856.70 × 3,175.50
  4. Step 4: Simplify right side
    5,693.23x = 24,948,895.69
  5. Step 5: Solve for x
    x = 24,948,895.69/5,693.23
  6. Step 6: Final answer
    x = 4,382.21

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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.