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Finding the Fourth Proportional to 5,723.58, 7,899.21 and 3,486.77

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Solution

The fourth proportional to 5,723.58, 7,899.21 and 3,486.77 is: 4,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.58 : 7,899.21 = 3,486.77 : x
  2. Step 2: Convert to fraction form
    5,723.58/7,899.21 = 3,486.77/x
  3. Step 3: Cross multiply
    5,723.58x = 7,899.21 × 3,486.77
  4. Step 4: Simplify right side
    5,723.58x = 27,542,711.02
  5. Step 5: Solve for x
    x = 27,542,711.02/5,723.58
  6. Step 6: Final answer
    x = 4,812.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.