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Finding the Fourth Proportional to 3,170.50, 4,737.67 and 2,374.72

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Solution

The fourth proportional to 3,170.50, 4,737.67 and 2,374.72 is: 3,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.50 : 4,737.67 = 2,374.72 : x
  2. Step 2: Convert to fraction form
    3,170.50/4,737.67 = 2,374.72/x
  3. Step 3: Cross multiply
    3,170.50x = 4,737.67 × 2,374.72
  4. Step 4: Simplify right side
    3,170.50x = 11,250,621.92
  5. Step 5: Solve for x
    x = 11,250,621.92/3,170.50
  6. Step 6: Final answer
    x = 3,548.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.