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Finding the Fourth Proportional to 3,722.76, 5,132.16 and 2,546.64

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Solution

The fourth proportional to 3,722.76, 5,132.16 and 2,546.64 is: 3,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.76 : 5,132.16 = 2,546.64 : x
  2. Step 2: Convert to fraction form
    3,722.76/5,132.16 = 2,546.64/x
  3. Step 3: Cross multiply
    3,722.76x = 5,132.16 × 2,546.64
  4. Step 4: Simplify right side
    3,722.76x = 13,069,763.94
  5. Step 5: Solve for x
    x = 13,069,763.94/3,722.76
  6. Step 6: Final answer
    x = 3,510.77

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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.