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Finding the Fourth Proportional to 4,689.50, 7,029.18 and 3,047.22

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Solution

The fourth proportional to 4,689.50, 7,029.18 and 3,047.22 is: 4,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.50 : 7,029.18 = 3,047.22 : x
  2. Step 2: Convert to fraction form
    4,689.50/7,029.18 = 3,047.22/x
  3. Step 3: Cross multiply
    4,689.50x = 7,029.18 × 3,047.22
  4. Step 4: Simplify right side
    4,689.50x = 21,419,457.88
  5. Step 5: Solve for x
    x = 21,419,457.88/4,689.50
  6. Step 6: Final answer
    x = 4,567.54

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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.