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Finding the Fourth Proportional to 4,129.38, 5,698.63 and 2,361.15

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Solution

The fourth proportional to 4,129.38, 5,698.63 and 2,361.15 is: 3,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.38 : 5,698.63 = 2,361.15 : x
  2. Step 2: Convert to fraction form
    4,129.38/5,698.63 = 2,361.15/x
  3. Step 3: Cross multiply
    4,129.38x = 5,698.63 × 2,361.15
  4. Step 4: Simplify right side
    4,129.38x = 13,455,320.22
  5. Step 5: Solve for x
    x = 13,455,320.22/4,129.38
  6. Step 6: Final answer
    x = 3,258.44

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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.