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Finding the Fourth Proportional to 3,833.97, 5,741.82 and 2,368.68

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Solution

The fourth proportional to 3,833.97, 5,741.82 and 2,368.68 is: 3,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.97 : 5,741.82 = 2,368.68 : x
  2. Step 2: Convert to fraction form
    3,833.97/5,741.82 = 2,368.68/x
  3. Step 3: Cross multiply
    3,833.97x = 5,741.82 × 2,368.68
  4. Step 4: Simplify right side
    3,833.97x = 13,600,534.20
  5. Step 5: Solve for x
    x = 13,600,534.20/3,833.97
  6. Step 6: Final answer
    x = 3,547.38

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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.