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Finding the Fourth Proportional to 3,699.87, 5,547.77 and 1,233.82

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Solution

The fourth proportional to 3,699.87, 5,547.77 and 1,233.82 is: 1,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.87 : 5,547.77 = 1,233.82 : x
  2. Step 2: Convert to fraction form
    3,699.87/5,547.77 = 1,233.82/x
  3. Step 3: Cross multiply
    3,699.87x = 5,547.77 × 1,233.82
  4. Step 4: Simplify right side
    3,699.87x = 6,844,949.58
  5. Step 5: Solve for x
    x = 6,844,949.58/3,699.87
  6. Step 6: Final answer
    x = 1,850.05

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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.