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Finding the Fourth Proportional to 4,649.82, 6,973.97 and 1,529.87

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Solution

The fourth proportional to 4,649.82, 6,973.97 and 1,529.87 is: 2,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.82 : 6,973.97 = 1,529.87 : x
  2. Step 2: Convert to fraction form
    4,649.82/6,973.97 = 1,529.87/x
  3. Step 3: Cross multiply
    4,649.82x = 6,973.97 × 1,529.87
  4. Step 4: Simplify right side
    4,649.82x = 10,669,251.12
  5. Step 5: Solve for x
    x = 10,669,251.12/4,649.82
  6. Step 6: Final answer
    x = 2,294.55

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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.