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Finding the Fourth Proportional to 4,697.70, 7,046.55 and 4,179.30

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Solution

The fourth proportional to 4,697.70, 7,046.55 and 4,179.30 is: 6,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.70 : 7,046.55 = 4,179.30 : x
  2. Step 2: Convert to fraction form
    4,697.70/7,046.55 = 4,179.30/x
  3. Step 3: Cross multiply
    4,697.70x = 7,046.55 × 4,179.30
  4. Step 4: Simplify right side
    4,697.70x = 29,449,646.42
  5. Step 5: Solve for x
    x = 29,449,646.42/4,697.70
  6. Step 6: Final answer
    x = 6,268.95

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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.