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Finding the Fourth Proportional to 4,662.72, 6,432.42 and 2,983.50

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Solution

The fourth proportional to 4,662.72, 6,432.42 and 2,983.50 is: 4,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.72 : 6,432.42 = 2,983.50 : x
  2. Step 2: Convert to fraction form
    4,662.72/6,432.42 = 2,983.50/x
  3. Step 3: Cross multiply
    4,662.72x = 6,432.42 × 2,983.50
  4. Step 4: Simplify right side
    4,662.72x = 19,191,125.07
  5. Step 5: Solve for x
    x = 19,191,125.07/4,662.72
  6. Step 6: Final answer
    x = 4,115.86

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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.