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Finding the Fourth Proportional to 4,758.15, 7,137.63 and 1,471.17

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Solution

The fourth proportional to 4,758.15, 7,137.63 and 1,471.17 is: 2,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.15 : 7,137.63 = 1,471.17 : x
  2. Step 2: Convert to fraction form
    4,758.15/7,137.63 = 1,471.17/x
  3. Step 3: Cross multiply
    4,758.15x = 7,137.63 × 1,471.17
  4. Step 4: Simplify right side
    4,758.15x = 10,500,667.13
  5. Step 5: Solve for x
    x = 10,500,667.13/4,758.15
  6. Step 6: Final answer
    x = 2,206.88

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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.