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Finding the Fourth Proportional to 5,877.41, 8,109.82 and 3,486.44

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Solution

The fourth proportional to 5,877.41, 8,109.82 and 3,486.44 is: 4,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.41 : 8,109.82 = 3,486.44 : x
  2. Step 2: Convert to fraction form
    5,877.41/8,109.82 = 3,486.44/x
  3. Step 3: Cross multiply
    5,877.41x = 8,109.82 × 3,486.44
  4. Step 4: Simplify right side
    5,877.41x = 28,274,425.47
  5. Step 5: Solve for x
    x = 28,274,425.47/5,877.41
  6. Step 6: Final answer
    x = 4,810.69

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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.