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Finding the Fourth Proportional to 5,704.98, 7,870.70 and 3,579.60

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Solution

The fourth proportional to 5,704.98, 7,870.70 and 3,579.60 is: 4,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.98 : 7,870.70 = 3,579.60 : x
  2. Step 2: Convert to fraction form
    5,704.98/7,870.70 = 3,579.60/x
  3. Step 3: Cross multiply
    5,704.98x = 7,870.70 × 3,579.60
  4. Step 4: Simplify right side
    5,704.98x = 28,173,957.72
  5. Step 5: Solve for x
    x = 28,173,957.72/5,704.98
  6. Step 6: Final answer
    x = 4,938.48

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Why These Related Problems?

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