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Finding the Fourth Proportional to 5,217.09, 7,833.78 and 4,656.57

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Solution

The fourth proportional to 5,217.09, 7,833.78 and 4,656.57 is: 6,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.09 : 7,833.78 = 4,656.57 : x
  2. Step 2: Convert to fraction form
    5,217.09/7,833.78 = 4,656.57/x
  3. Step 3: Cross multiply
    5,217.09x = 7,833.78 × 4,656.57
  4. Step 4: Simplify right side
    5,217.09x = 36,478,544.93
  5. Step 5: Solve for x
    x = 36,478,544.93/5,217.09
  6. Step 6: Final answer
    x = 6,992.12

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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.