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Finding the Fourth Proportional to 5,632.65, 7,773.98 and 3,744.27

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Solution

The fourth proportional to 5,632.65, 7,773.98 and 3,744.27 is: 5,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.65 : 7,773.98 = 3,744.27 : x
  2. Step 2: Convert to fraction form
    5,632.65/7,773.98 = 3,744.27/x
  3. Step 3: Cross multiply
    5,632.65x = 7,773.98 × 3,744.27
  4. Step 4: Simplify right side
    5,632.65x = 29,107,861.37
  5. Step 5: Solve for x
    x = 29,107,861.37/5,632.65
  6. Step 6: Final answer
    x = 5,167.70

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1.5x scale

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.