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Finding the Fourth Proportional to 6,337.54, 8,745.33 and 3,542.50

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Solution

The fourth proportional to 6,337.54, 8,745.33 and 3,542.50 is: 4,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.54 : 8,745.33 = 3,542.50 : x
  2. Step 2: Convert to fraction form
    6,337.54/8,745.33 = 3,542.50/x
  3. Step 3: Cross multiply
    6,337.54x = 8,745.33 × 3,542.50
  4. Step 4: Simplify right side
    6,337.54x = 30,980,331.53
  5. Step 5: Solve for x
    x = 30,980,331.53/6,337.54
  6. Step 6: Final answer
    x = 4,888.38

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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.