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Finding the Fourth Proportional to 5,291.64, 7,302.45 and 3,167.27

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Solution

The fourth proportional to 5,291.64, 7,302.45 and 3,167.27 is: 4,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.64 : 7,302.45 = 3,167.27 : x
  2. Step 2: Convert to fraction form
    5,291.64/7,302.45 = 3,167.27/x
  3. Step 3: Cross multiply
    5,291.64x = 7,302.45 × 3,167.27
  4. Step 4: Simplify right side
    5,291.64x = 23,128,794.30
  5. Step 5: Solve for x
    x = 23,128,794.30/5,291.64
  6. Step 6: Final answer
    x = 4,370.82

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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.