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Finding the Fourth Proportional to 3,546.99, 4,894.84 and 1,975.45

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Solution

The fourth proportional to 3,546.99, 4,894.84 and 1,975.45 is: 2,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.99 : 4,894.84 = 1,975.45 : x
  2. Step 2: Convert to fraction form
    3,546.99/4,894.84 = 1,975.45/x
  3. Step 3: Cross multiply
    3,546.99x = 4,894.84 × 1,975.45
  4. Step 4: Simplify right side
    3,546.99x = 9,669,511.68
  5. Step 5: Solve for x
    x = 9,669,511.68/3,546.99
  6. Step 6: Final answer
    x = 2,726.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.