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Finding the Fourth Proportional to 5,704.04, 7,871.60 and 3,346.20

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Solution

The fourth proportional to 5,704.04, 7,871.60 and 3,346.20 is: 4,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.04 : 7,871.60 = 3,346.20 : x
  2. Step 2: Convert to fraction form
    5,704.04/7,871.60 = 3,346.20/x
  3. Step 3: Cross multiply
    5,704.04x = 7,871.60 × 3,346.20
  4. Step 4: Simplify right side
    5,704.04x = 26,339,947.92
  5. Step 5: Solve for x
    x = 26,339,947.92/5,704.04
  6. Step 6: Final answer
    x = 4,617.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.