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Finding the Fourth Proportional to 3,595.94, 4,963.08 and 2,180.40

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Solution

The fourth proportional to 3,595.94, 4,963.08 and 2,180.40 is: 3,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.94 : 4,963.08 = 2,180.40 : x
  2. Step 2: Convert to fraction form
    3,595.94/4,963.08 = 2,180.40/x
  3. Step 3: Cross multiply
    3,595.94x = 4,963.08 × 2,180.40
  4. Step 4: Simplify right side
    3,595.94x = 10,821,481.02
  5. Step 5: Solve for x
    x = 10,821,481.02/3,595.94
  6. Step 6: Final answer
    x = 3,009.37

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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.