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Finding the Fourth Proportional to 4,135.71, 5,703.74 and 2,542.39

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Solution

The fourth proportional to 4,135.71, 5,703.74 and 2,542.39 is: 3,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.71 : 5,703.74 = 2,542.39 : x
  2. Step 2: Convert to fraction form
    4,135.71/5,703.74 = 2,542.39/x
  3. Step 3: Cross multiply
    4,135.71x = 5,703.74 × 2,542.39
  4. Step 4: Simplify right side
    4,135.71x = 14,501,121.25
  5. Step 5: Solve for x
    x = 14,501,121.25/4,135.71
  6. Step 6: Final answer
    x = 3,506.32

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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.