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Finding the Fourth Proportional to 3,503.49, 5,239.53 and 3,115.95

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Solution

The fourth proportional to 3,503.49, 5,239.53 and 3,115.95 is: 4,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.49 : 5,239.53 = 3,115.95 : x
  2. Step 2: Convert to fraction form
    3,503.49/5,239.53 = 3,115.95/x
  3. Step 3: Cross multiply
    3,503.49x = 5,239.53 × 3,115.95
  4. Step 4: Simplify right side
    3,503.49x = 16,326,113.50
  5. Step 5: Solve for x
    x = 16,326,113.50/3,503.49
  6. Step 6: Final answer
    x = 4,659.96

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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.