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Finding the Fourth Proportional to 4,186.83, 6,275.47 and 1,686.42

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Solution

The fourth proportional to 4,186.83, 6,275.47 and 1,686.42 is: 2,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.83 : 6,275.47 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    4,186.83/6,275.47 = 1,686.42/x
  3. Step 3: Cross multiply
    4,186.83x = 6,275.47 × 1,686.42
  4. Step 4: Simplify right side
    4,186.83x = 10,583,086.04
  5. Step 5: Solve for x
    x = 10,583,086.04/4,186.83
  6. Step 6: Final answer
    x = 2,527.71

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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.