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Finding the Fourth Proportional to 3,869.39, 5,339.75 and 2,101.00

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Solution

The fourth proportional to 3,869.39, 5,339.75 and 2,101.00 is: 2,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.39 : 5,339.75 = 2,101.00 : x
  2. Step 2: Convert to fraction form
    3,869.39/5,339.75 = 2,101.00/x
  3. Step 3: Cross multiply
    3,869.39x = 5,339.75 × 2,101.00
  4. Step 4: Simplify right side
    3,869.39x = 11,218,788.05
  5. Step 5: Solve for x
    x = 11,218,788.05/3,869.39
  6. Step 6: Final answer
    x = 2,899.37

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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.