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Finding the Fourth Proportional to 3,681.60, 5,076.96 and 3,262.08

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Solution

The fourth proportional to 3,681.60, 5,076.96 and 3,262.08 is: 4,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.60 : 5,076.96 = 3,262.08 : x
  2. Step 2: Convert to fraction form
    3,681.60/5,076.96 = 3,262.08/x
  3. Step 3: Cross multiply
    3,681.60x = 5,076.96 × 3,262.08
  4. Step 4: Simplify right side
    3,681.60x = 16,561,449.68
  5. Step 5: Solve for x
    x = 16,561,449.68/3,681.60
  6. Step 6: Final answer
    x = 4,498.44

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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.