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Finding the Fourth Proportional to 3,840.85, 5,300.03 and 2,139.23

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Solution

The fourth proportional to 3,840.85, 5,300.03 and 2,139.23 is: 2,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.85 : 5,300.03 = 2,139.23 : x
  2. Step 2: Convert to fraction form
    3,840.85/5,300.03 = 2,139.23/x
  3. Step 3: Cross multiply
    3,840.85x = 5,300.03 × 2,139.23
  4. Step 4: Simplify right side
    3,840.85x = 11,337,962.02
  5. Step 5: Solve for x
    x = 11,337,962.02/3,840.85
  6. Step 6: Final answer
    x = 2,951.94

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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.