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Finding the Fourth Proportional to 6,352.34, 9,515.52 and 3,749

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Solution

The fourth proportional to 6,352.34, 9,515.52 and 3,749 is: 5,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.34 : 9,515.52 = 3,749 : x
  2. Step 2: Convert to fraction form
    6,352.34/9,515.52 = 3,749/x
  3. Step 3: Cross multiply
    6,352.34x = 9,515.52 × 3,749
  4. Step 4: Simplify right side
    6,352.34x = 35,673,684.48
  5. Step 5: Solve for x
    x = 35,673,684.48/6,352.34
  6. Step 6: Final answer
    x = 5,615.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.