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Finding the Fourth Proportional to 4,349.50, 6,002.49 and 2,486.50

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Solution

The fourth proportional to 4,349.50, 6,002.49 and 2,486.50 is: 3,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.50 : 6,002.49 = 2,486.50 : x
  2. Step 2: Convert to fraction form
    4,349.50/6,002.49 = 2,486.50/x
  3. Step 3: Cross multiply
    4,349.50x = 6,002.49 × 2,486.50
  4. Step 4: Simplify right side
    4,349.50x = 14,925,191.39
  5. Step 5: Solve for x
    x = 14,925,191.39/4,349.50
  6. Step 6: Final answer
    x = 3,431.47

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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.