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Finding the Fourth Proportional to 4,197.42, 6,296.49 and 1,564.11

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Solution

The fourth proportional to 4,197.42, 6,296.49 and 1,564.11 is: 2,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.42 : 6,296.49 = 1,564.11 : x
  2. Step 2: Convert to fraction form
    4,197.42/6,296.49 = 1,564.11/x
  3. Step 3: Cross multiply
    4,197.42x = 6,296.49 × 1,564.11
  4. Step 4: Simplify right side
    4,197.42x = 9,848,402.97
  5. Step 5: Solve for x
    x = 9,848,402.97/4,197.42
  6. Step 6: Final answer
    x = 2,346.30

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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.