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Finding the Fourth Proportional to 3,594.68, 4,961.15 and 2,178.93

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Solution

The fourth proportional to 3,594.68, 4,961.15 and 2,178.93 is: 3,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.68 : 4,961.15 = 2,178.93 : x
  2. Step 2: Convert to fraction form
    3,594.68/4,961.15 = 2,178.93/x
  3. Step 3: Cross multiply
    3,594.68x = 4,961.15 × 2,178.93
  4. Step 4: Simplify right side
    3,594.68x = 10,809,987.67
  5. Step 5: Solve for x
    x = 10,809,987.67/3,594.68
  6. Step 6: Final answer
    x = 3,007.22

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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.