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Finding the Fourth Proportional to 4,392.30, 6,588.45 and 4,197.90

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Solution

The fourth proportional to 4,392.30, 6,588.45 and 4,197.90 is: 6,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.30 : 6,588.45 = 4,197.90 : x
  2. Step 2: Convert to fraction form
    4,392.30/6,588.45 = 4,197.90/x
  3. Step 3: Cross multiply
    4,392.30x = 6,588.45 × 4,197.90
  4. Step 4: Simplify right side
    4,392.30x = 27,657,654.26
  5. Step 5: Solve for x
    x = 27,657,654.26/4,392.30
  6. Step 6: Final answer
    x = 6,296.85

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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.