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Finding the Fourth Proportional to 5,854.82, 8,078.33 and 3,496.50

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Solution

The fourth proportional to 5,854.82, 8,078.33 and 3,496.50 is: 4,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.82 : 8,078.33 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    5,854.82/8,078.33 = 3,496.50/x
  3. Step 3: Cross multiply
    5,854.82x = 8,078.33 × 3,496.50
  4. Step 4: Simplify right side
    5,854.82x = 28,245,889.59
  5. Step 5: Solve for x
    x = 28,245,889.59/5,854.82
  6. Step 6: Final answer
    x = 4,824.39

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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.