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Finding the Fourth Proportional to 3,869.58, 5,340 and 2,101.20

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Solution

The fourth proportional to 3,869.58, 5,340 and 2,101.20 is: 2,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.58 : 5,340 = 2,101.20 : x
  2. Step 2: Convert to fraction form
    3,869.58/5,340 = 2,101.20/x
  3. Step 3: Cross multiply
    3,869.58x = 5,340 × 2,101.20
  4. Step 4: Simplify right side
    3,869.58x = 11,220,408.00
  5. Step 5: Solve for x
    x = 11,220,408.00/3,869.58
  6. Step 6: Final answer
    x = 2,899.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.