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Finding the Fourth Proportional to 3,483.82, 5,211.69 and 3,002.86

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Solution

The fourth proportional to 3,483.82, 5,211.69 and 3,002.86 is: 4,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.82 : 5,211.69 = 3,002.86 : x
  2. Step 2: Convert to fraction form
    3,483.82/5,211.69 = 3,002.86/x
  3. Step 3: Cross multiply
    3,483.82x = 5,211.69 × 3,002.86
  4. Step 4: Simplify right side
    3,483.82x = 15,649,975.43
  5. Step 5: Solve for x
    x = 15,649,975.43/3,483.82
  6. Step 6: Final answer
    x = 4,492.19

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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.