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Finding the Fourth Proportional to 3,530.42, 4,874.02 and 2,204.81

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Solution

The fourth proportional to 3,530.42, 4,874.02 and 2,204.81 is: 3,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.42 : 4,874.02 = 2,204.81 : x
  2. Step 2: Convert to fraction form
    3,530.42/4,874.02 = 2,204.81/x
  3. Step 3: Cross multiply
    3,530.42x = 4,874.02 × 2,204.81
  4. Step 4: Simplify right side
    3,530.42x = 10,746,258.15
  5. Step 5: Solve for x
    x = 10,746,258.15/3,530.42
  6. Step 6: Final answer
    x = 3,043.91

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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.