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Finding the Fourth Proportional to 5,050.96, 6,971.40 and 3,394

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Solution

The fourth proportional to 5,050.96, 6,971.40 and 3,394 is: 4,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.96 : 6,971.40 = 3,394 : x
  2. Step 2: Convert to fraction form
    5,050.96/6,971.40 = 3,394/x
  3. Step 3: Cross multiply
    5,050.96x = 6,971.40 × 3,394
  4. Step 4: Simplify right side
    5,050.96x = 23,660,931.60
  5. Step 5: Solve for x
    x = 23,660,931.60/5,050.96
  6. Step 6: Final answer
    x = 4,684.44

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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.