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Finding the Fourth Proportional to 3,869.43, 5,339.80 and 2,101.02

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Solution

The fourth proportional to 3,869.43, 5,339.80 and 2,101.02 is: 2,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.43 : 5,339.80 = 2,101.02 : x
  2. Step 2: Convert to fraction form
    3,869.43/5,339.80 = 2,101.02/x
  3. Step 3: Cross multiply
    3,869.43x = 5,339.80 × 2,101.02
  4. Step 4: Simplify right side
    3,869.43x = 11,219,026.60
  5. Step 5: Solve for x
    x = 11,219,026.60/3,869.43
  6. Step 6: Final answer
    x = 2,899.40

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