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Finding the Fourth Proportional to 3,925.91, 5,887.65 and 1,736.48

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Solution

The fourth proportional to 3,925.91, 5,887.65 and 1,736.48 is: 2,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.91 : 5,887.65 = 1,736.48 : x
  2. Step 2: Convert to fraction form
    3,925.91/5,887.65 = 1,736.48/x
  3. Step 3: Cross multiply
    3,925.91x = 5,887.65 × 1,736.48
  4. Step 4: Simplify right side
    3,925.91x = 10,223,786.47
  5. Step 5: Solve for x
    x = 10,223,786.47/3,925.91
  6. Step 6: Final answer
    x = 2,604.18

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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.