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Finding the Fourth Proportional to 5,751.42, 8,626.79 and 1,591.34

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Solution

The fourth proportional to 5,751.42, 8,626.79 and 1,591.34 is: 2,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.42 : 8,626.79 = 1,591.34 : x
  2. Step 2: Convert to fraction form
    5,751.42/8,626.79 = 1,591.34/x
  3. Step 3: Cross multiply
    5,751.42x = 8,626.79 × 1,591.34
  4. Step 4: Simplify right side
    5,751.42x = 13,728,104.91
  5. Step 5: Solve for x
    x = 13,728,104.91/5,751.42
  6. Step 6: Final answer
    x = 2,386.91

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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.