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Finding the Fourth Proportional to 3,734.48, 5,595.50 and 2,546.76

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Solution

The fourth proportional to 3,734.48, 5,595.50 and 2,546.76 is: 3,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.48 : 5,595.50 = 2,546.76 : x
  2. Step 2: Convert to fraction form
    3,734.48/5,595.50 = 2,546.76/x
  3. Step 3: Cross multiply
    3,734.48x = 5,595.50 × 2,546.76
  4. Step 4: Simplify right side
    3,734.48x = 14,250,395.58
  5. Step 5: Solve for x
    x = 14,250,395.58/3,734.48
  6. Step 6: Final answer
    x = 3,815.90

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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.