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Finding the Fourth Proportional to 4,327.38, 6,490.80 and 1,728.45

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Solution

The fourth proportional to 4,327.38, 6,490.80 and 1,728.45 is: 2,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.38 : 6,490.80 = 1,728.45 : x
  2. Step 2: Convert to fraction form
    4,327.38/6,490.80 = 1,728.45/x
  3. Step 3: Cross multiply
    4,327.38x = 6,490.80 × 1,728.45
  4. Step 4: Simplify right side
    4,327.38x = 11,219,023.26
  5. Step 5: Solve for x
    x = 11,219,023.26/4,327.38
  6. Step 6: Final answer
    x = 2,592.57

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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.