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Finding the Fourth Proportional to 3,594.75, 4,960.71 and 2,102.37

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Solution

The fourth proportional to 3,594.75, 4,960.71 and 2,102.37 is: 2,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.75 : 4,960.71 = 2,102.37 : x
  2. Step 2: Convert to fraction form
    3,594.75/4,960.71 = 2,102.37/x
  3. Step 3: Cross multiply
    3,594.75x = 4,960.71 × 2,102.37
  4. Step 4: Simplify right side
    3,594.75x = 10,429,247.88
  5. Step 5: Solve for x
    x = 10,429,247.88/3,594.75
  6. Step 6: Final answer
    x = 2,901.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.