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Finding the Fourth Proportional to 3,490.90, 5,235.08 and 1,516.43

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Solution

The fourth proportional to 3,490.90, 5,235.08 and 1,516.43 is: 2,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.90 : 5,235.08 = 1,516.43 : x
  2. Step 2: Convert to fraction form
    3,490.90/5,235.08 = 1,516.43/x
  3. Step 3: Cross multiply
    3,490.90x = 5,235.08 × 1,516.43
  4. Step 4: Simplify right side
    3,490.90x = 7,938,632.36
  5. Step 5: Solve for x
    x = 7,938,632.36/3,490.90
  6. Step 6: Final answer
    x = 2,274.09

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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.