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Finding the Fourth Proportional to 5,497.24, 7,586.20 and 2,979.32

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Solution

The fourth proportional to 5,497.24, 7,586.20 and 2,979.32 is: 4,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.24 : 7,586.20 = 2,979.32 : x
  2. Step 2: Convert to fraction form
    5,497.24/7,586.20 = 2,979.32/x
  3. Step 3: Cross multiply
    5,497.24x = 7,586.20 × 2,979.32
  4. Step 4: Simplify right side
    5,497.24x = 22,601,717.38
  5. Step 5: Solve for x
    x = 22,601,717.38/5,497.24
  6. Step 6: Final answer
    x = 4,111.47

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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.