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Finding the Fourth Proportional to 5,435.92, 7,498.89 and 3,546.63

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Solution

The fourth proportional to 5,435.92, 7,498.89 and 3,546.63 is: 4,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.92 : 7,498.89 = 3,546.63 : x
  2. Step 2: Convert to fraction form
    5,435.92/7,498.89 = 3,546.63/x
  3. Step 3: Cross multiply
    5,435.92x = 7,498.89 × 3,546.63
  4. Step 4: Simplify right side
    5,435.92x = 26,595,788.24
  5. Step 5: Solve for x
    x = 26,595,788.24/5,435.92
  6. Step 6: Final answer
    x = 4,892.60

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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.