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Finding the Fourth Proportional to 5,657.67, 7,805.98 and 3,668.31

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Solution

The fourth proportional to 5,657.67, 7,805.98 and 3,668.31 is: 5,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.67 : 7,805.98 = 3,668.31 : x
  2. Step 2: Convert to fraction form
    5,657.67/7,805.98 = 3,668.31/x
  3. Step 3: Cross multiply
    5,657.67x = 7,805.98 × 3,668.31
  4. Step 4: Simplify right side
    5,657.67x = 28,634,715.46
  5. Step 5: Solve for x
    x = 28,634,715.46/5,657.67
  6. Step 6: Final answer
    x = 5,061.22

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