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Finding the Fourth Proportional to 4,233.98, 5,840.96 and 2,742.38

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Solution

The fourth proportional to 4,233.98, 5,840.96 and 2,742.38 is: 3,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.98 : 5,840.96 = 2,742.38 : x
  2. Step 2: Convert to fraction form
    4,233.98/5,840.96 = 2,742.38/x
  3. Step 3: Cross multiply
    4,233.98x = 5,840.96 × 2,742.38
  4. Step 4: Simplify right side
    4,233.98x = 16,018,088.97
  5. Step 5: Solve for x
    x = 16,018,088.97/4,233.98
  6. Step 6: Final answer
    x = 3,783.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.