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Finding the Fourth Proportional to 3,616.06, 5,424.63 and 1,150.15

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Solution

The fourth proportional to 3,616.06, 5,424.63 and 1,150.15 is: 1,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.06 : 5,424.63 = 1,150.15 : x
  2. Step 2: Convert to fraction form
    3,616.06/5,424.63 = 1,150.15/x
  3. Step 3: Cross multiply
    3,616.06x = 5,424.63 × 1,150.15
  4. Step 4: Simplify right side
    3,616.06x = 6,239,138.19
  5. Step 5: Solve for x
    x = 6,239,138.19/3,616.06
  6. Step 6: Final answer
    x = 1,725.40

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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.