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Finding the Fourth Proportional to 5,290.78, 7,301.46 and 2,933.14

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Solution

The fourth proportional to 5,290.78, 7,301.46 and 2,933.14 is: 4,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.78 : 7,301.46 = 2,933.14 : x
  2. Step 2: Convert to fraction form
    5,290.78/7,301.46 = 2,933.14/x
  3. Step 3: Cross multiply
    5,290.78x = 7,301.46 × 2,933.14
  4. Step 4: Simplify right side
    5,290.78x = 21,416,204.38
  5. Step 5: Solve for x
    x = 21,416,204.38/5,290.78
  6. Step 6: Final answer
    x = 4,047.83

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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.