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Finding the Fourth Proportional to 3,498.77, 5,249.37 and 1,552.34

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Solution

The fourth proportional to 3,498.77, 5,249.37 and 1,552.34 is: 2,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.77 : 5,249.37 = 1,552.34 : x
  2. Step 2: Convert to fraction form
    3,498.77/5,249.37 = 1,552.34/x
  3. Step 3: Cross multiply
    3,498.77x = 5,249.37 × 1,552.34
  4. Step 4: Simplify right side
    3,498.77x = 8,148,807.03
  5. Step 5: Solve for x
    x = 8,148,807.03/3,498.77
  6. Step 6: Final answer
    x = 2,329.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.