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Finding the Fourth Proportional to 3,564.72, 4,919.02 and 2,052.20

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Solution

The fourth proportional to 3,564.72, 4,919.02 and 2,052.20 is: 2,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.72 : 4,919.02 = 2,052.20 : x
  2. Step 2: Convert to fraction form
    3,564.72/4,919.02 = 2,052.20/x
  3. Step 3: Cross multiply
    3,564.72x = 4,919.02 × 2,052.20
  4. Step 4: Simplify right side
    3,564.72x = 10,094,820.01
  5. Step 5: Solve for x
    x = 10,094,820.01/3,564.72
  6. Step 6: Final answer
    x = 2,831.87

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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.