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Finding the Fourth Proportional to 3,980.72, 5,966.54 and 1,897.78

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Solution

The fourth proportional to 3,980.72, 5,966.54 and 1,897.78 is: 2,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.72 : 5,966.54 = 1,897.78 : x
  2. Step 2: Convert to fraction form
    3,980.72/5,966.54 = 1,897.78/x
  3. Step 3: Cross multiply
    3,980.72x = 5,966.54 × 1,897.78
  4. Step 4: Simplify right side
    3,980.72x = 11,323,180.28
  5. Step 5: Solve for x
    x = 11,323,180.28/3,980.72
  6. Step 6: Final answer
    x = 2,844.51

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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.