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Finding the Fourth Proportional to 4,508.42, 6,760.80 and 1,586.04

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Solution

The fourth proportional to 4,508.42, 6,760.80 and 1,586.04 is: 2,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.42 : 6,760.80 = 1,586.04 : x
  2. Step 2: Convert to fraction form
    4,508.42/6,760.80 = 1,586.04/x
  3. Step 3: Cross multiply
    4,508.42x = 6,760.80 × 1,586.04
  4. Step 4: Simplify right side
    4,508.42x = 10,722,899.23
  5. Step 5: Solve for x
    x = 10,722,899.23/4,508.42
  6. Step 6: Final answer
    x = 2,378.42

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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.