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Finding the Fourth Proportional to 3,690.34, 5,504.35 and 3,098.43

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Solution

The fourth proportional to 3,690.34, 5,504.35 and 3,098.43 is: 4,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.34 : 5,504.35 = 3,098.43 : x
  2. Step 2: Convert to fraction form
    3,690.34/5,504.35 = 3,098.43/x
  3. Step 3: Cross multiply
    3,690.34x = 5,504.35 × 3,098.43
  4. Step 4: Simplify right side
    3,690.34x = 17,054,843.17
  5. Step 5: Solve for x
    x = 17,054,843.17/3,690.34
  6. Step 6: Final answer
    x = 4,621.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.