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Finding the Fourth Proportional to 5,218.53, 7,808.16 and 3,661.58

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Solution

The fourth proportional to 5,218.53, 7,808.16 and 3,661.58 is: 5,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.53 : 7,808.16 = 3,661.58 : x
  2. Step 2: Convert to fraction form
    5,218.53/7,808.16 = 3,661.58/x
  3. Step 3: Cross multiply
    5,218.53x = 7,808.16 × 3,661.58
  4. Step 4: Simplify right side
    5,218.53x = 28,590,163.45
  5. Step 5: Solve for x
    x = 28,590,163.45/5,218.53
  6. Step 6: Final answer
    x = 5,478.59

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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.