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Finding the Fourth Proportional to 3,833.13, 5,749.71 and 2,534.31

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Solution

The fourth proportional to 3,833.13, 5,749.71 and 2,534.31 is: 3,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.13 : 5,749.71 = 2,534.31 : x
  2. Step 2: Convert to fraction form
    3,833.13/5,749.71 = 2,534.31/x
  3. Step 3: Cross multiply
    3,833.13x = 5,749.71 × 2,534.31
  4. Step 4: Simplify right side
    3,833.13x = 14,571,547.55
  5. Step 5: Solve for x
    x = 14,571,547.55/3,833.13
  6. Step 6: Final answer
    x = 3,801.47

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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.