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Finding the Fourth Proportional to 3,596.76, 4,963.75 and 2,180.57

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Solution

The fourth proportional to 3,596.76, 4,963.75 and 2,180.57 is: 3,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.76 : 4,963.75 = 2,180.57 : x
  2. Step 2: Convert to fraction form
    3,596.76/4,963.75 = 2,180.57/x
  3. Step 3: Cross multiply
    3,596.76x = 4,963.75 × 2,180.57
  4. Step 4: Simplify right side
    3,596.76x = 10,823,804.34
  5. Step 5: Solve for x
    x = 10,823,804.34/3,596.76
  6. Step 6: Final answer
    x = 3,009.32

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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.