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Finding the Fourth Proportional to 5,537.76, 8,308.08 and 2,616

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Solution

The fourth proportional to 5,537.76, 8,308.08 and 2,616 is: 3,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.76 : 8,308.08 = 2,616 : x
  2. Step 2: Convert to fraction form
    5,537.76/8,308.08 = 2,616/x
  3. Step 3: Cross multiply
    5,537.76x = 8,308.08 × 2,616
  4. Step 4: Simplify right side
    5,537.76x = 21,733,937.28
  5. Step 5: Solve for x
    x = 21,733,937.28/5,537.76
  6. Step 6: Final answer
    x = 3,924.68

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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.