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Finding the Fourth Proportional to 3,158.49, 4,737.75 and 967.21

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Solution

The fourth proportional to 3,158.49, 4,737.75 and 967.21 is: 1,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.49 : 4,737.75 = 967.21 : x
  2. Step 2: Convert to fraction form
    3,158.49/4,737.75 = 967.21/x
  3. Step 3: Cross multiply
    3,158.49x = 4,737.75 × 967.21
  4. Step 4: Simplify right side
    3,158.49x = 4,582,411.02
  5. Step 5: Solve for x
    x = 4,582,411.02/3,158.49
  6. Step 6: Final answer
    x = 1,450.82

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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.