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Finding the Fourth Proportional to 3,824.16, 5,274.63 and 2,688

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Solution

The fourth proportional to 3,824.16, 5,274.63 and 2,688 is: 3,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.16 : 5,274.63 = 2,688 : x
  2. Step 2: Convert to fraction form
    3,824.16/5,274.63 = 2,688/x
  3. Step 3: Cross multiply
    3,824.16x = 5,274.63 × 2,688
  4. Step 4: Simplify right side
    3,824.16x = 14,178,205.44
  5. Step 5: Solve for x
    x = 14,178,205.44/3,824.16
  6. Step 6: Final answer
    x = 3,707.53

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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.