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Finding the Fourth Proportional to 4,181.66, 6,268.76 and 1,586.42

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Solution

The fourth proportional to 4,181.66, 6,268.76 and 1,586.42 is: 2,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.66 : 6,268.76 = 1,586.42 : x
  2. Step 2: Convert to fraction form
    4,181.66/6,268.76 = 1,586.42/x
  3. Step 3: Cross multiply
    4,181.66x = 6,268.76 × 1,586.42
  4. Step 4: Simplify right side
    4,181.66x = 9,944,886.24
  5. Step 5: Solve for x
    x = 9,944,886.24/4,181.66
  6. Step 6: Final answer
    x = 2,378.21

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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.