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Finding the Fourth Proportional to 3,829.68, 5,284 and 2,697.92

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Solution

The fourth proportional to 3,829.68, 5,284 and 2,697.92 is: 3,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.68 : 5,284 = 2,697.92 : x
  2. Step 2: Convert to fraction form
    3,829.68/5,284 = 2,697.92/x
  3. Step 3: Cross multiply
    3,829.68x = 5,284 × 2,697.92
  4. Step 4: Simplify right side
    3,829.68x = 14,255,809.28
  5. Step 5: Solve for x
    x = 14,255,809.28/3,829.68
  6. Step 6: Final answer
    x = 3,722.45

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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.