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Finding the Fourth Proportional to 3,653.16, 5,041.50 and 2,081.22

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Solution

The fourth proportional to 3,653.16, 5,041.50 and 2,081.22 is: 2,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.16 : 5,041.50 = 2,081.22 : x
  2. Step 2: Convert to fraction form
    3,653.16/5,041.50 = 2,081.22/x
  3. Step 3: Cross multiply
    3,653.16x = 5,041.50 × 2,081.22
  4. Step 4: Simplify right side
    3,653.16x = 10,492,470.63
  5. Step 5: Solve for x
    x = 10,492,470.63/3,653.16
  6. Step 6: Final answer
    x = 2,872.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.