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Finding the Fourth Proportional to 3,661.92, 5,492.12 and 1,290.32

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Solution

The fourth proportional to 3,661.92, 5,492.12 and 1,290.32 is: 1,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.92 : 5,492.12 = 1,290.32 : x
  2. Step 2: Convert to fraction form
    3,661.92/5,492.12 = 1,290.32/x
  3. Step 3: Cross multiply
    3,661.92x = 5,492.12 × 1,290.32
  4. Step 4: Simplify right side
    3,661.92x = 7,086,558.37
  5. Step 5: Solve for x
    x = 7,086,558.37/3,661.92
  6. Step 6: Final answer
    x = 1,935.20

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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.