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Finding the Fourth Proportional to 3,827.99, 5,742.01 and 1,054.81

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Solution

The fourth proportional to 3,827.99, 5,742.01 and 1,054.81 is: 1,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.99 : 5,742.01 = 1,054.81 : x
  2. Step 2: Convert to fraction form
    3,827.99/5,742.01 = 1,054.81/x
  3. Step 3: Cross multiply
    3,827.99x = 5,742.01 × 1,054.81
  4. Step 4: Simplify right side
    3,827.99x = 6,056,729.57
  5. Step 5: Solve for x
    x = 6,056,729.57/3,827.99
  6. Step 6: Final answer
    x = 1,582.22

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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.