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Finding the Fourth Proportional to 3,498.09, 5,247.15 and 1,643.94

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Solution

The fourth proportional to 3,498.09, 5,247.15 and 1,643.94 is: 2,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.09 : 5,247.15 = 1,643.94 : x
  2. Step 2: Convert to fraction form
    3,498.09/5,247.15 = 1,643.94/x
  3. Step 3: Cross multiply
    3,498.09x = 5,247.15 × 1,643.94
  4. Step 4: Simplify right side
    3,498.09x = 8,625,999.77
  5. Step 5: Solve for x
    x = 8,625,999.77/3,498.09
  6. Step 6: Final answer
    x = 2,465.92

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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.