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Finding the Fourth Proportional to 5,752.80, 7,920.66 and 5,227.26

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Solution

The fourth proportional to 5,752.80, 7,920.66 and 5,227.26 is: 7,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.80 : 7,920.66 = 5,227.26 : x
  2. Step 2: Convert to fraction form
    5,752.80/7,920.66 = 5,227.26/x
  3. Step 3: Cross multiply
    5,752.80x = 7,920.66 × 5,227.26
  4. Step 4: Simplify right side
    5,752.80x = 41,403,349.19
  5. Step 5: Solve for x
    x = 41,403,349.19/5,752.80
  6. Step 6: Final answer
    x = 7,197.08

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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.