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Finding the Fourth Proportional to 3,527.78, 5,292.14 and 1,186.79

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Solution

The fourth proportional to 3,527.78, 5,292.14 and 1,186.79 is: 1,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.78 : 5,292.14 = 1,186.79 : x
  2. Step 2: Convert to fraction form
    3,527.78/5,292.14 = 1,186.79/x
  3. Step 3: Cross multiply
    3,527.78x = 5,292.14 × 1,186.79
  4. Step 4: Simplify right side
    3,527.78x = 6,280,626.44
  5. Step 5: Solve for x
    x = 6,280,626.44/3,527.78
  6. Step 6: Final answer
    x = 1,780.34

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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.