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Finding the Fourth Proportional to 4,240.78, 5,852.12 and 2,352.39

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Solution

The fourth proportional to 4,240.78, 5,852.12 and 2,352.39 is: 3,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.78 : 5,852.12 = 2,352.39 : x
  2. Step 2: Convert to fraction form
    4,240.78/5,852.12 = 2,352.39/x
  3. Step 3: Cross multiply
    4,240.78x = 5,852.12 × 2,352.39
  4. Step 4: Simplify right side
    4,240.78x = 13,766,434.86
  5. Step 5: Solve for x
    x = 13,766,434.86/4,240.78
  6. Step 6: Final answer
    x = 3,246.21

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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.