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Finding the Fourth Proportional to 3,904.22, 5,858.98 and 1,441.01

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Solution

The fourth proportional to 3,904.22, 5,858.98 and 1,441.01 is: 2,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.22 : 5,858.98 = 1,441.01 : x
  2. Step 2: Convert to fraction form
    3,904.22/5,858.98 = 1,441.01/x
  3. Step 3: Cross multiply
    3,904.22x = 5,858.98 × 1,441.01
  4. Step 4: Simplify right side
    3,904.22x = 8,442,859.81
  5. Step 5: Solve for x
    x = 8,442,859.81/3,904.22
  6. Step 6: Final answer
    x = 2,162.49

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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.