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Finding the Fourth Proportional to 3,483.76, 5,218.62 and 2,314.42

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Solution

The fourth proportional to 3,483.76, 5,218.62 and 2,314.42 is: 3,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.76 : 5,218.62 = 2,314.42 : x
  2. Step 2: Convert to fraction form
    3,483.76/5,218.62 = 2,314.42/x
  3. Step 3: Cross multiply
    3,483.76x = 5,218.62 × 2,314.42
  4. Step 4: Simplify right side
    3,483.76x = 12,078,078.50
  5. Step 5: Solve for x
    x = 12,078,078.50/3,483.76
  6. Step 6: Final answer
    x = 3,466.97

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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.