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Finding the Fourth Proportional to 3,869.44, 5,339.68 and 2,101.01

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Solution

The fourth proportional to 3,869.44, 5,339.68 and 2,101.01 is: 2,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.44 : 5,339.68 = 2,101.01 : x
  2. Step 2: Convert to fraction form
    3,869.44/5,339.68 = 2,101.01/x
  3. Step 3: Cross multiply
    3,869.44x = 5,339.68 × 2,101.01
  4. Step 4: Simplify right side
    3,869.44x = 11,218,689.13
  5. Step 5: Solve for x
    x = 11,218,689.13/3,869.44
  6. Step 6: Final answer
    x = 2,899.31

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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.