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Finding the Fourth Proportional to 4,645.35, 6,960.74 and 2,447.42

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Solution

The fourth proportional to 4,645.35, 6,960.74 and 2,447.42 is: 3,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.35 : 6,960.74 = 2,447.42 : x
  2. Step 2: Convert to fraction form
    4,645.35/6,960.74 = 2,447.42/x
  3. Step 3: Cross multiply
    4,645.35x = 6,960.74 × 2,447.42
  4. Step 4: Simplify right side
    4,645.35x = 17,035,807.25
  5. Step 5: Solve for x
    x = 17,035,807.25/4,645.35
  6. Step 6: Final answer
    x = 3,667.28

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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.