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Finding the Fourth Proportional to 3,522.65, 5,274.72 and 2,831.69

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Solution

The fourth proportional to 3,522.65, 5,274.72 and 2,831.69 is: 4,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.65 : 5,274.72 = 2,831.69 : x
  2. Step 2: Convert to fraction form
    3,522.65/5,274.72 = 2,831.69/x
  3. Step 3: Cross multiply
    3,522.65x = 5,274.72 × 2,831.69
  4. Step 4: Simplify right side
    3,522.65x = 14,936,385.06
  5. Step 5: Solve for x
    x = 14,936,385.06/3,522.65
  6. Step 6: Final answer
    x = 4,240.11

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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.