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Finding the Fourth Proportional to 5,292.54, 7,939.08 and 2,005.90

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Solution

The fourth proportional to 5,292.54, 7,939.08 and 2,005.90 is: 3,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.54 : 7,939.08 = 2,005.90 : x
  2. Step 2: Convert to fraction form
    5,292.54/7,939.08 = 2,005.90/x
  3. Step 3: Cross multiply
    5,292.54x = 7,939.08 × 2,005.90
  4. Step 4: Simplify right side
    5,292.54x = 15,924,980.72
  5. Step 5: Solve for x
    x = 15,924,980.72/5,292.54
  6. Step 6: Final answer
    x = 3,008.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.