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Finding the Fourth Proportional to 5,262.41, 7,262.16 and 2,872.55

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Solution

The fourth proportional to 5,262.41, 7,262.16 and 2,872.55 is: 3,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.41 : 7,262.16 = 2,872.55 : x
  2. Step 2: Convert to fraction form
    5,262.41/7,262.16 = 2,872.55/x
  3. Step 3: Cross multiply
    5,262.41x = 7,262.16 × 2,872.55
  4. Step 4: Simplify right side
    5,262.41x = 20,860,917.71
  5. Step 5: Solve for x
    x = 20,860,917.71/5,262.41
  6. Step 6: Final answer
    x = 3,964.14

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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.