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Finding the Fourth Proportional to 4,097.58, 5,654.12 and 2,328.80

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Solution

The fourth proportional to 4,097.58, 5,654.12 and 2,328.80 is: 3,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.58 : 5,654.12 = 2,328.80 : x
  2. Step 2: Convert to fraction form
    4,097.58/5,654.12 = 2,328.80/x
  3. Step 3: Cross multiply
    4,097.58x = 5,654.12 × 2,328.80
  4. Step 4: Simplify right side
    4,097.58x = 13,167,314.66
  5. Step 5: Solve for x
    x = 13,167,314.66/4,097.58
  6. Step 6: Final answer
    x = 3,213.44

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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.