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Finding the Fourth Proportional to 5,291.25, 7,926.54 and 2,825.20

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Solution

The fourth proportional to 5,291.25, 7,926.54 and 2,825.20 is: 4,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.25 : 7,926.54 = 2,825.20 : x
  2. Step 2: Convert to fraction form
    5,291.25/7,926.54 = 2,825.20/x
  3. Step 3: Cross multiply
    5,291.25x = 7,926.54 × 2,825.20
  4. Step 4: Simplify right side
    5,291.25x = 22,394,060.81
  5. Step 5: Solve for x
    x = 22,394,060.81/5,291.25
  6. Step 6: Final answer
    x = 4,232.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.