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Finding the Fourth Proportional to 3,011.64, 4,513.14 and 2,363.64

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Solution

The fourth proportional to 3,011.64, 4,513.14 and 2,363.64 is: 3,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.64 : 4,513.14 = 2,363.64 : x
  2. Step 2: Convert to fraction form
    3,011.64/4,513.14 = 2,363.64/x
  3. Step 3: Cross multiply
    3,011.64x = 4,513.14 × 2,363.64
  4. Step 4: Simplify right side
    3,011.64x = 10,667,438.23
  5. Step 5: Solve for x
    x = 10,667,438.23/3,011.64
  6. Step 6: Final answer
    x = 3,542.07

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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.