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Finding the Fourth Proportional to 3,158.38, 4,737.78 and 967.48

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Solution

The fourth proportional to 3,158.38, 4,737.78 and 967.48 is: 1,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.38 : 4,737.78 = 967.48 : x
  2. Step 2: Convert to fraction form
    3,158.38/4,737.78 = 967.48/x
  3. Step 3: Cross multiply
    3,158.38x = 4,737.78 × 967.48
  4. Step 4: Simplify right side
    3,158.38x = 4,583,707.39
  5. Step 5: Solve for x
    x = 4,583,707.39/3,158.38
  6. Step 6: Final answer
    x = 1,451.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.