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Finding the Fourth Proportional to 5,940.70, 8,911.05 and 5,854.30

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Solution

The fourth proportional to 5,940.70, 8,911.05 and 5,854.30 is: 8,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.70 : 8,911.05 = 5,854.30 : x
  2. Step 2: Convert to fraction form
    5,940.70/8,911.05 = 5,854.30/x
  3. Step 3: Cross multiply
    5,940.70x = 8,911.05 × 5,854.30
  4. Step 4: Simplify right side
    5,940.70x = 52,167,960.02
  5. Step 5: Solve for x
    x = 52,167,960.02/5,940.70
  6. Step 6: Final answer
    x = 8,781.45

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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.