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Finding the Fourth Proportional to 3,618.99, 5,428.02 and 1,538.61

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Solution

The fourth proportional to 3,618.99, 5,428.02 and 1,538.61 is: 2,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.99 : 5,428.02 = 1,538.61 : x
  2. Step 2: Convert to fraction form
    3,618.99/5,428.02 = 1,538.61/x
  3. Step 3: Cross multiply
    3,618.99x = 5,428.02 × 1,538.61
  4. Step 4: Simplify right side
    3,618.99x = 8,351,605.85
  5. Step 5: Solve for x
    x = 8,351,605.85/3,618.99
  6. Step 6: Final answer
    x = 2,307.72

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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.