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Finding the Fourth Proportional to 3,804.92, 5,248.88 and 2,546.03

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Solution

The fourth proportional to 3,804.92, 5,248.88 and 2,546.03 is: 3,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.92 : 5,248.88 = 2,546.03 : x
  2. Step 2: Convert to fraction form
    3,804.92/5,248.88 = 2,546.03/x
  3. Step 3: Cross multiply
    3,804.92x = 5,248.88 × 2,546.03
  4. Step 4: Simplify right side
    3,804.92x = 13,363,819.47
  5. Step 5: Solve for x
    x = 13,363,819.47/3,804.92
  6. Step 6: Final answer
    x = 3,512.24

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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.