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Finding the Fourth Proportional to 3,485.77, 5,229.87 and 1,538.14

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Solution

The fourth proportional to 3,485.77, 5,229.87 and 1,538.14 is: 2,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.77 : 5,229.87 = 1,538.14 : x
  2. Step 2: Convert to fraction form
    3,485.77/5,229.87 = 1,538.14/x
  3. Step 3: Cross multiply
    3,485.77x = 5,229.87 × 1,538.14
  4. Step 4: Simplify right side
    3,485.77x = 8,044,272.24
  5. Step 5: Solve for x
    x = 8,044,272.24/3,485.77
  6. Step 6: Final answer
    x = 2,307.75

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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.