Home / 3,702.64-5,107.26-2,209.41

Finding the Fourth Proportional to 3,702.64, 5,107.26 and 2,209.41

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Solution

The fourth proportional to 3,702.64, 5,107.26 and 2,209.41 is: 3,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.64 : 5,107.26 = 2,209.41 : x
  2. Step 2: Convert to fraction form
    3,702.64/5,107.26 = 2,209.41/x
  3. Step 3: Cross multiply
    3,702.64x = 5,107.26 × 2,209.41
  4. Step 4: Simplify right side
    3,702.64x = 11,284,031.32
  5. Step 5: Solve for x
    x = 11,284,031.32/3,702.64
  6. Step 6: Final answer
    x = 3,047.56

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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.