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Finding the Fourth Proportional to 3,869.42, 5,339.74 and 2,101

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Solution

The fourth proportional to 3,869.42, 5,339.74 and 2,101 is: 2,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.42 : 5,339.74 = 2,101 : x
  2. Step 2: Convert to fraction form
    3,869.42/5,339.74 = 2,101/x
  3. Step 3: Cross multiply
    3,869.42x = 5,339.74 × 2,101
  4. Step 4: Simplify right side
    3,869.42x = 11,218,793.74
  5. Step 5: Solve for x
    x = 11,218,793.74/3,869.42
  6. Step 6: Final answer
    x = 2,899.35

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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.