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Finding the Fourth Proportional to 3,377.84, 5,067.36 and 1,186.25

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Solution

The fourth proportional to 3,377.84, 5,067.36 and 1,186.25 is: 1,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.84 : 5,067.36 = 1,186.25 : x
  2. Step 2: Convert to fraction form
    3,377.84/5,067.36 = 1,186.25/x
  3. Step 3: Cross multiply
    3,377.84x = 5,067.36 × 1,186.25
  4. Step 4: Simplify right side
    3,377.84x = 6,011,130.46
  5. Step 5: Solve for x
    x = 6,011,130.46/3,377.84
  6. Step 6: Final answer
    x = 1,779.58

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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.