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Finding the Fourth Proportional to 4,139.54, 5,712.41 and 2,369.90

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Solution

The fourth proportional to 4,139.54, 5,712.41 and 2,369.90 is: 3,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.54 : 5,712.41 = 2,369.90 : x
  2. Step 2: Convert to fraction form
    4,139.54/5,712.41 = 2,369.90/x
  3. Step 3: Cross multiply
    4,139.54x = 5,712.41 × 2,369.90
  4. Step 4: Simplify right side
    4,139.54x = 13,537,800.05
  5. Step 5: Solve for x
    x = 13,537,800.05/4,139.54
  6. Step 6: Final answer
    x = 3,270.37

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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.