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Finding the Fourth Proportional to 3,840.80, 5,300.10 and 2,162.24

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Solution

The fourth proportional to 3,840.80, 5,300.10 and 2,162.24 is: 2,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.80 : 5,300.10 = 2,162.24 : x
  2. Step 2: Convert to fraction form
    3,840.80/5,300.10 = 2,162.24/x
  3. Step 3: Cross multiply
    3,840.80x = 5,300.10 × 2,162.24
  4. Step 4: Simplify right side
    3,840.80x = 11,460,088.22
  5. Step 5: Solve for x
    x = 11,460,088.22/3,840.80
  6. Step 6: Final answer
    x = 2,983.78

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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.