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Finding the Fourth Proportional to 5,256.37, 7,882.80 and 4,087.68

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Solution

The fourth proportional to 5,256.37, 7,882.80 and 4,087.68 is: 6,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.37 : 7,882.80 = 4,087.68 : x
  2. Step 2: Convert to fraction form
    5,256.37/7,882.80 = 4,087.68/x
  3. Step 3: Cross multiply
    5,256.37x = 7,882.80 × 4,087.68
  4. Step 4: Simplify right side
    5,256.37x = 32,222,324.49
  5. Step 5: Solve for x
    x = 32,222,324.49/5,256.37
  6. Step 6: Final answer
    x = 6,130.15

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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.