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Finding the Fourth Proportional to 5,306.78, 7,323.14 and 2,949.08

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Solution

The fourth proportional to 5,306.78, 7,323.14 and 2,949.08 is: 4,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.78 : 7,323.14 = 2,949.08 : x
  2. Step 2: Convert to fraction form
    5,306.78/7,323.14 = 2,949.08/x
  3. Step 3: Cross multiply
    5,306.78x = 7,323.14 × 2,949.08
  4. Step 4: Simplify right side
    5,306.78x = 21,596,496.47
  5. Step 5: Solve for x
    x = 21,596,496.47/5,306.78
  6. Step 6: Final answer
    x = 4,069.60

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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.