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Finding the Fourth Proportional to 3,841.48, 5,296.80 and 3,280.24

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Solution

The fourth proportional to 3,841.48, 5,296.80 and 3,280.24 is: 4,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.48 : 5,296.80 = 3,280.24 : x
  2. Step 2: Convert to fraction form
    3,841.48/5,296.80 = 3,280.24/x
  3. Step 3: Cross multiply
    3,841.48x = 5,296.80 × 3,280.24
  4. Step 4: Simplify right side
    3,841.48x = 17,374,775.23
  5. Step 5: Solve for x
    x = 17,374,775.23/3,841.48
  6. Step 6: Final answer
    x = 4,522.94

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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.