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Finding the Fourth Proportional to 4,327.86, 6,490.32 and 1,405.44

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Solution

The fourth proportional to 4,327.86, 6,490.32 and 1,405.44 is: 2,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.86 : 6,490.32 = 1,405.44 : x
  2. Step 2: Convert to fraction form
    4,327.86/6,490.32 = 1,405.44/x
  3. Step 3: Cross multiply
    4,327.86x = 6,490.32 × 1,405.44
  4. Step 4: Simplify right side
    4,327.86x = 9,121,755.34
  5. Step 5: Solve for x
    x = 9,121,755.34/4,327.86
  6. Step 6: Final answer
    x = 2,107.68

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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.