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Finding the Fourth Proportional to 4,097.47, 5,653.15 and 3,204.43

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Solution

The fourth proportional to 4,097.47, 5,653.15 and 3,204.43 is: 4,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.47 : 5,653.15 = 3,204.43 : x
  2. Step 2: Convert to fraction form
    4,097.47/5,653.15 = 3,204.43/x
  3. Step 3: Cross multiply
    4,097.47x = 5,653.15 × 3,204.43
  4. Step 4: Simplify right side
    4,097.47x = 18,115,123.45
  5. Step 5: Solve for x
    x = 18,115,123.45/4,097.47
  6. Step 6: Final answer
    x = 4,421.05

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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.