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Finding the Fourth Proportional to 4,053.35, 6,069.04 and 2,101.46

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Solution

The fourth proportional to 4,053.35, 6,069.04 and 2,101.46 is: 3,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.35 : 6,069.04 = 2,101.46 : x
  2. Step 2: Convert to fraction form
    4,053.35/6,069.04 = 2,101.46/x
  3. Step 3: Cross multiply
    4,053.35x = 6,069.04 × 2,101.46
  4. Step 4: Simplify right side
    4,053.35x = 12,753,820.69
  5. Step 5: Solve for x
    x = 12,753,820.69/4,053.35
  6. Step 6: Final answer
    x = 3,146.49

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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.