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Finding the Fourth Proportional to 3,537.94, 5,309.08 and 2,222.50

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Solution

The fourth proportional to 3,537.94, 5,309.08 and 2,222.50 is: 3,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.94 : 5,309.08 = 2,222.50 : x
  2. Step 2: Convert to fraction form
    3,537.94/5,309.08 = 2,222.50/x
  3. Step 3: Cross multiply
    3,537.94x = 5,309.08 × 2,222.50
  4. Step 4: Simplify right side
    3,537.94x = 11,799,430.30
  5. Step 5: Solve for x
    x = 11,799,430.30/3,537.94
  6. Step 6: Final answer
    x = 3,335.11

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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.