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Finding the Fourth Proportional to 6,854.08, 10,258.08 and 3,928

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Solution

The fourth proportional to 6,854.08, 10,258.08 and 3,928 is: 5,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.08 : 10,258.08 = 3,928 : x
  2. Step 2: Convert to fraction form
    6,854.08/10,258.08 = 3,928/x
  3. Step 3: Cross multiply
    6,854.08x = 10,258.08 × 3,928
  4. Step 4: Simplify right side
    6,854.08x = 40,293,738.24
  5. Step 5: Solve for x
    x = 40,293,738.24/6,854.08
  6. Step 6: Final answer
    x = 5,878.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.