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Finding the Fourth Proportional to 3,909.34, 5,394.82 and 2,140.94

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Solution

The fourth proportional to 3,909.34, 5,394.82 and 2,140.94 is: 2,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.34 : 5,394.82 = 2,140.94 : x
  2. Step 2: Convert to fraction form
    3,909.34/5,394.82 = 2,140.94/x
  3. Step 3: Cross multiply
    3,909.34x = 5,394.82 × 2,140.94
  4. Step 4: Simplify right side
    3,909.34x = 11,549,985.93
  5. Step 5: Solve for x
    x = 11,549,985.93/3,909.34
  6. Step 6: Final answer
    x = 2,954.46

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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.