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Finding the Fourth Proportional to 5,878.48, 8,111.40 and 3,394

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Solution

The fourth proportional to 5,878.48, 8,111.40 and 3,394 is: 4,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.48 : 8,111.40 = 3,394 : x
  2. Step 2: Convert to fraction form
    5,878.48/8,111.40 = 3,394/x
  3. Step 3: Cross multiply
    5,878.48x = 8,111.40 × 3,394
  4. Step 4: Simplify right side
    5,878.48x = 27,530,091.60
  5. Step 5: Solve for x
    x = 27,530,091.60/5,878.48
  6. Step 6: Final answer
    x = 4,683.20

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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.