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Finding the Fourth Proportional to 4,776.50, 7,161.42 and 2,437.22

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Solution

The fourth proportional to 4,776.50, 7,161.42 and 2,437.22 is: 3,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.50 : 7,161.42 = 2,437.22 : x
  2. Step 2: Convert to fraction form
    4,776.50/7,161.42 = 2,437.22/x
  3. Step 3: Cross multiply
    4,776.50x = 7,161.42 × 2,437.22
  4. Step 4: Simplify right side
    4,776.50x = 17,453,956.05
  5. Step 5: Solve for x
    x = 17,453,956.05/4,776.50
  6. Step 6: Final answer
    x = 3,654.13

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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.