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Finding the Fourth Proportional to 3,660.09, 5,490 and 2,427.15

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Solution

The fourth proportional to 3,660.09, 5,490 and 2,427.15 is: 3,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.09 : 5,490 = 2,427.15 : x
  2. Step 2: Convert to fraction form
    3,660.09/5,490 = 2,427.15/x
  3. Step 3: Cross multiply
    3,660.09x = 5,490 × 2,427.15
  4. Step 4: Simplify right side
    3,660.09x = 13,325,053.50
  5. Step 5: Solve for x
    x = 13,325,053.50/3,660.09
  6. Step 6: Final answer
    x = 3,640.64

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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.