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Finding the Fourth Proportional to 3,508.50, 5,262.75 and 2,210.88

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Solution

The fourth proportional to 3,508.50, 5,262.75 and 2,210.88 is: 3,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.50 : 5,262.75 = 2,210.88 : x
  2. Step 2: Convert to fraction form
    3,508.50/5,262.75 = 2,210.88/x
  3. Step 3: Cross multiply
    3,508.50x = 5,262.75 × 2,210.88
  4. Step 4: Simplify right side
    3,508.50x = 11,635,308.72
  5. Step 5: Solve for x
    x = 11,635,308.72/3,508.50
  6. Step 6: Final answer
    x = 3,316.32

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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.