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Finding the Fourth Proportional to 3,429, 5,118.12 and 3,346.14

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Solution

The fourth proportional to 3,429, 5,118.12 and 3,346.14 is: 4,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 5,118.12 = 3,346.14 : x
  2. Step 2: Convert to fraction form
    3,429/5,118.12 = 3,346.14/x
  3. Step 3: Cross multiply
    3,429x = 5,118.12 × 3,346.14
  4. Step 4: Simplify right side
    3,429x = 17,125,946.06
  5. Step 5: Solve for x
    x = 17,125,946.06/3,429
  6. Step 6: Final answer
    x = 4,994.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.