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Finding the Fourth Proportional to 3,402.64, 5,099.16 and 2,706.22

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Solution

The fourth proportional to 3,402.64, 5,099.16 and 2,706.22 is: 4,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.64 : 5,099.16 = 2,706.22 : x
  2. Step 2: Convert to fraction form
    3,402.64/5,099.16 = 2,706.22/x
  3. Step 3: Cross multiply
    3,402.64x = 5,099.16 × 2,706.22
  4. Step 4: Simplify right side
    3,402.64x = 13,799,423.28
  5. Step 5: Solve for x
    x = 13,799,423.28/3,402.64
  6. Step 6: Final answer
    x = 4,055.51

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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.