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Finding the Fourth Proportional to 4,776.75, 7,163.34 and 1,655.91

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Solution

The fourth proportional to 4,776.75, 7,163.34 and 1,655.91 is: 2,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.75 : 7,163.34 = 1,655.91 : x
  2. Step 2: Convert to fraction form
    4,776.75/7,163.34 = 1,655.91/x
  3. Step 3: Cross multiply
    4,776.75x = 7,163.34 × 1,655.91
  4. Step 4: Simplify right side
    4,776.75x = 11,861,846.34
  5. Step 5: Solve for x
    x = 11,861,846.34/4,776.75
  6. Step 6: Final answer
    x = 2,483.25

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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.