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Finding the Fourth Proportional to 3,477.90, 5,219.97 and 1,630.08

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Solution

The fourth proportional to 3,477.90, 5,219.97 and 1,630.08 is: 2,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.90 : 5,219.97 = 1,630.08 : x
  2. Step 2: Convert to fraction form
    3,477.90/5,219.97 = 1,630.08/x
  3. Step 3: Cross multiply
    3,477.90x = 5,219.97 × 1,630.08
  4. Step 4: Simplify right side
    3,477.90x = 8,508,968.70
  5. Step 5: Solve for x
    x = 8,508,968.70/3,477.90
  6. Step 6: Final answer
    x = 2,446.58

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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.