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Finding the Fourth Proportional to 3,485.08, 5,253.10 and 3,284.20

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Solution

The fourth proportional to 3,485.08, 5,253.10 and 3,284.20 is: 4,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.08 : 5,253.10 = 3,284.20 : x
  2. Step 2: Convert to fraction form
    3,485.08/5,253.10 = 3,284.20/x
  3. Step 3: Cross multiply
    3,485.08x = 5,253.10 × 3,284.20
  4. Step 4: Simplify right side
    3,485.08x = 17,252,231.02
  5. Step 5: Solve for x
    x = 17,252,231.02/3,485.08
  6. Step 6: Final answer
    x = 4,950.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.