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Finding the Fourth Proportional to 3,653.91, 5,042.38 and 1,975.32

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Solution

The fourth proportional to 3,653.91, 5,042.38 and 1,975.32 is: 2,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.91 : 5,042.38 = 1,975.32 : x
  2. Step 2: Convert to fraction form
    3,653.91/5,042.38 = 1,975.32/x
  3. Step 3: Cross multiply
    3,653.91x = 5,042.38 × 1,975.32
  4. Step 4: Simplify right side
    3,653.91x = 9,960,314.06
  5. Step 5: Solve for x
    x = 9,960,314.06/3,653.91
  6. Step 6: Final answer
    x = 2,725.93

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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.