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Finding the Fourth Proportional to 3,442.88, 5,164.32 and 2,072

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Solution

The fourth proportional to 3,442.88, 5,164.32 and 2,072 is: 3,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.88 : 5,164.32 = 2,072 : x
  2. Step 2: Convert to fraction form
    3,442.88/5,164.32 = 2,072/x
  3. Step 3: Cross multiply
    3,442.88x = 5,164.32 × 2,072
  4. Step 4: Simplify right side
    3,442.88x = 10,700,471.04
  5. Step 5: Solve for x
    x = 10,700,471.04/3,442.88
  6. Step 6: Final answer
    x = 3,108.00

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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.