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Finding the Fourth Proportional to 5,186.68, 7,780.03 and 3,442.84

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Solution

The fourth proportional to 5,186.68, 7,780.03 and 3,442.84 is: 5,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.68 : 7,780.03 = 3,442.84 : x
  2. Step 2: Convert to fraction form
    5,186.68/7,780.03 = 3,442.84/x
  3. Step 3: Cross multiply
    5,186.68x = 7,780.03 × 3,442.84
  4. Step 4: Simplify right side
    5,186.68x = 26,785,398.49
  5. Step 5: Solve for x
    x = 26,785,398.49/5,186.68
  6. Step 6: Final answer
    x = 5,164.27

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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.