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Finding the Fourth Proportional to 3,829.60, 5,288.22 and 2,415.81

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Solution

The fourth proportional to 3,829.60, 5,288.22 and 2,415.81 is: 3,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.60 : 5,288.22 = 2,415.81 : x
  2. Step 2: Convert to fraction form
    3,829.60/5,288.22 = 2,415.81/x
  3. Step 3: Cross multiply
    3,829.60x = 5,288.22 × 2,415.81
  4. Step 4: Simplify right side
    3,829.60x = 12,775,354.59
  5. Step 5: Solve for x
    x = 12,775,354.59/3,829.60
  6. Step 6: Final answer
    x = 3,335.95

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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.