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Finding the Fourth Proportional to 4,635.60, 6,394.02 and 2,864.94

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Solution

The fourth proportional to 4,635.60, 6,394.02 and 2,864.94 is: 3,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.60 : 6,394.02 = 2,864.94 : x
  2. Step 2: Convert to fraction form
    4,635.60/6,394.02 = 2,864.94/x
  3. Step 3: Cross multiply
    4,635.60x = 6,394.02 × 2,864.94
  4. Step 4: Simplify right side
    4,635.60x = 18,318,483.66
  5. Step 5: Solve for x
    x = 18,318,483.66/4,635.60
  6. Step 6: Final answer
    x = 3,951.70

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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.