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Finding the Fourth Proportional to 3,840.78, 5,300.78 and 2,162.51

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Solution

The fourth proportional to 3,840.78, 5,300.78 and 2,162.51 is: 2,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.78 : 5,300.78 = 2,162.51 : x
  2. Step 2: Convert to fraction form
    3,840.78/5,300.78 = 2,162.51/x
  3. Step 3: Cross multiply
    3,840.78x = 5,300.78 × 2,162.51
  4. Step 4: Simplify right side
    3,840.78x = 11,463,000.31
  5. Step 5: Solve for x
    x = 11,463,000.31/3,840.78
  6. Step 6: Final answer
    x = 2,984.55

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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.