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Finding the Fourth Proportional to 3,442.50, 5,164.97 and 1,712.34

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Solution

The fourth proportional to 3,442.50, 5,164.97 and 1,712.34 is: 2,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.50 : 5,164.97 = 1,712.34 : x
  2. Step 2: Convert to fraction form
    3,442.50/5,164.97 = 1,712.34/x
  3. Step 3: Cross multiply
    3,442.50x = 5,164.97 × 1,712.34
  4. Step 4: Simplify right side
    3,442.50x = 8,844,176.17
  5. Step 5: Solve for x
    x = 8,844,176.17/3,442.50
  6. Step 6: Final answer
    x = 2,569.11

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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.