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Finding the Fourth Proportional to 3,906.58, 5,859.24 and 1,828.02

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Solution

The fourth proportional to 3,906.58, 5,859.24 and 1,828.02 is: 2,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.58 : 5,859.24 = 1,828.02 : x
  2. Step 2: Convert to fraction form
    3,906.58/5,859.24 = 1,828.02/x
  3. Step 3: Cross multiply
    3,906.58x = 5,859.24 × 1,828.02
  4. Step 4: Simplify right side
    3,906.58x = 10,710,807.90
  5. Step 5: Solve for x
    x = 10,710,807.90/3,906.58
  6. Step 6: Final answer
    x = 2,741.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.