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Finding the Fourth Proportional to 3,901.84, 5,853.68 and 2,669.83

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Solution

The fourth proportional to 3,901.84, 5,853.68 and 2,669.83 is: 4,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.84 : 5,853.68 = 2,669.83 : x
  2. Step 2: Convert to fraction form
    3,901.84/5,853.68 = 2,669.83/x
  3. Step 3: Cross multiply
    3,901.84x = 5,853.68 × 2,669.83
  4. Step 4: Simplify right side
    3,901.84x = 15,628,330.47
  5. Step 5: Solve for x
    x = 15,628,330.47/3,901.84
  6. Step 6: Final answer
    x = 4,005.37

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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.