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Finding the Fourth Proportional to 4,732.38, 6,526.44 and 2,964.18

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Solution

The fourth proportional to 4,732.38, 6,526.44 and 2,964.18 is: 4,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.38 : 6,526.44 = 2,964.18 : x
  2. Step 2: Convert to fraction form
    4,732.38/6,526.44 = 2,964.18/x
  3. Step 3: Cross multiply
    4,732.38x = 6,526.44 × 2,964.18
  4. Step 4: Simplify right side
    4,732.38x = 19,345,542.92
  5. Step 5: Solve for x
    x = 19,345,542.92/4,732.38
  6. Step 6: Final answer
    x = 4,087.91

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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.