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Finding the Fourth Proportional to 3,464.02, 5,188.80 and 1,616.74

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Solution

The fourth proportional to 3,464.02, 5,188.80 and 1,616.74 is: 2,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.02 : 5,188.80 = 1,616.74 : x
  2. Step 2: Convert to fraction form
    3,464.02/5,188.80 = 1,616.74/x
  3. Step 3: Cross multiply
    3,464.02x = 5,188.80 × 1,616.74
  4. Step 4: Simplify right side
    3,464.02x = 8,388,940.51
  5. Step 5: Solve for x
    x = 8,388,940.51/3,464.02
  6. Step 6: Final answer
    x = 2,421.74

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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.