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Finding the Fourth Proportional to 7,122.84, 9,828.98 and 3,979.24

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Solution

The fourth proportional to 7,122.84, 9,828.98 and 3,979.24 is: 5,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.84 : 9,828.98 = 3,979.24 : x
  2. Step 2: Convert to fraction form
    7,122.84/9,828.98 = 3,979.24/x
  3. Step 3: Cross multiply
    7,122.84x = 9,828.98 × 3,979.24
  4. Step 4: Simplify right side
    7,122.84x = 39,111,870.38
  5. Step 5: Solve for x
    x = 39,111,870.38/7,122.84
  6. Step 6: Final answer
    x = 5,491.05

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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.