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Finding the Fourth Proportional to 5,213.06, 7,808.66 and 3,561.88

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Solution

The fourth proportional to 5,213.06, 7,808.66 and 3,561.88 is: 5,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.06 : 7,808.66 = 3,561.88 : x
  2. Step 2: Convert to fraction form
    5,213.06/7,808.66 = 3,561.88/x
  3. Step 3: Cross multiply
    5,213.06x = 7,808.66 × 3,561.88
  4. Step 4: Simplify right side
    5,213.06x = 27,813,509.88
  5. Step 5: Solve for x
    x = 27,813,509.88/5,213.06
  6. Step 6: Final answer
    x = 5,335.35

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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.