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Finding the Fourth Proportional to 5,287.58, 7,282.06 and 5,172.78

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Solution

The fourth proportional to 5,287.58, 7,282.06 and 5,172.78 is: 7,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.58 : 7,282.06 = 5,172.78 : x
  2. Step 2: Convert to fraction form
    5,287.58/7,282.06 = 5,172.78/x
  3. Step 3: Cross multiply
    5,287.58x = 7,282.06 × 5,172.78
  4. Step 4: Simplify right side
    5,287.58x = 37,668,481.39
  5. Step 5: Solve for x
    x = 37,668,481.39/5,287.58
  6. Step 6: Final answer
    x = 7,123.96

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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.