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Finding the Fourth Proportional to 3,662.52, 5,494.62 and 1,065.36

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Solution

The fourth proportional to 3,662.52, 5,494.62 and 1,065.36 is: 1,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.52 : 5,494.62 = 1,065.36 : x
  2. Step 2: Convert to fraction form
    3,662.52/5,494.62 = 1,065.36/x
  3. Step 3: Cross multiply
    3,662.52x = 5,494.62 × 1,065.36
  4. Step 4: Simplify right side
    3,662.52x = 5,853,748.36
  5. Step 5: Solve for x
    x = 5,853,748.36/3,662.52
  6. Step 6: Final answer
    x = 1,598.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.