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Finding the Fourth Proportional to 5,262.32, 7,261.78 and 2,904.43

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Solution

The fourth proportional to 5,262.32, 7,261.78 and 2,904.43 is: 4,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.32 : 7,261.78 = 2,904.43 : x
  2. Step 2: Convert to fraction form
    5,262.32/7,261.78 = 2,904.43/x
  3. Step 3: Cross multiply
    5,262.32x = 7,261.78 × 2,904.43
  4. Step 4: Simplify right side
    5,262.32x = 21,091,295.38
  5. Step 5: Solve for x
    x = 21,091,295.38/5,262.32
  6. Step 6: Final answer
    x = 4,007.99

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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.