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Finding the Fourth Proportional to 3,833.16, 5,749.58 and 1,097.16

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Solution

The fourth proportional to 3,833.16, 5,749.58 and 1,097.16 is: 1,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.16 : 5,749.58 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    3,833.16/5,749.58 = 1,097.16/x
  3. Step 3: Cross multiply
    3,833.16x = 5,749.58 × 1,097.16
  4. Step 4: Simplify right side
    3,833.16x = 6,308,209.19
  5. Step 5: Solve for x
    x = 6,308,209.19/3,833.16
  6. Step 6: Final answer
    x = 1,645.69

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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.