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Finding the Fourth Proportional to 3,926.72, 5,887.24 and 1,980.29

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Solution

The fourth proportional to 3,926.72, 5,887.24 and 1,980.29 is: 2,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.72 : 5,887.24 = 1,980.29 : x
  2. Step 2: Convert to fraction form
    3,926.72/5,887.24 = 1,980.29/x
  3. Step 3: Cross multiply
    3,926.72x = 5,887.24 × 1,980.29
  4. Step 4: Simplify right side
    3,926.72x = 11,658,442.50
  5. Step 5: Solve for x
    x = 11,658,442.50/3,926.72
  6. Step 6: Final answer
    x = 2,969.00

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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.