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Finding the Fourth Proportional to 3,630.98, 5,010.84 and 2,214.74

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Solution

The fourth proportional to 3,630.98, 5,010.84 and 2,214.74 is: 3,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.98 : 5,010.84 = 2,214.74 : x
  2. Step 2: Convert to fraction form
    3,630.98/5,010.84 = 2,214.74/x
  3. Step 3: Cross multiply
    3,630.98x = 5,010.84 × 2,214.74
  4. Step 4: Simplify right side
    3,630.98x = 11,097,707.78
  5. Step 5: Solve for x
    x = 11,097,707.78/3,630.98
  6. Step 6: Final answer
    x = 3,056.39

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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.