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Finding the Fourth Proportional to 4,649.28, 6,974.78 and 1,529.46

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Solution

The fourth proportional to 4,649.28, 6,974.78 and 1,529.46 is: 2,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.28 : 6,974.78 = 1,529.46 : x
  2. Step 2: Convert to fraction form
    4,649.28/6,974.78 = 1,529.46/x
  3. Step 3: Cross multiply
    4,649.28x = 6,974.78 × 1,529.46
  4. Step 4: Simplify right side
    4,649.28x = 10,667,647.02
  5. Step 5: Solve for x
    x = 10,667,647.02/4,649.28
  6. Step 6: Final answer
    x = 2,294.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.