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Finding the Fourth Proportional to 5,841.12, 8,723.16 and 5,196

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Solution

The fourth proportional to 5,841.12, 8,723.16 and 5,196 is: 7,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.12 : 8,723.16 = 5,196 : x
  2. Step 2: Convert to fraction form
    5,841.12/8,723.16 = 5,196/x
  3. Step 3: Cross multiply
    5,841.12x = 8,723.16 × 5,196
  4. Step 4: Simplify right side
    5,841.12x = 45,325,539.36
  5. Step 5: Solve for x
    x = 45,325,539.36/5,841.12
  6. Step 6: Final answer
    x = 7,759.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.