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Finding the Fourth Proportional to 5,704.96, 7,870.42 and 3,579.04

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Solution

The fourth proportional to 5,704.96, 7,870.42 and 3,579.04 is: 4,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.96 : 7,870.42 = 3,579.04 : x
  2. Step 2: Convert to fraction form
    5,704.96/7,870.42 = 3,579.04/x
  3. Step 3: Cross multiply
    5,704.96x = 7,870.42 × 3,579.04
  4. Step 4: Simplify right side
    5,704.96x = 28,168,548.00
  5. Step 5: Solve for x
    x = 28,168,548.00/5,704.96
  6. Step 6: Final answer
    x = 4,937.55

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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.