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Finding the Fourth Proportional to 4,230.39, 6,342.79 and 2,254.77

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Solution

The fourth proportional to 4,230.39, 6,342.79 and 2,254.77 is: 3,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.39 : 6,342.79 = 2,254.77 : x
  2. Step 2: Convert to fraction form
    4,230.39/6,342.79 = 2,254.77/x
  3. Step 3: Cross multiply
    4,230.39x = 6,342.79 × 2,254.77
  4. Step 4: Simplify right side
    4,230.39x = 14,301,531.20
  5. Step 5: Solve for x
    x = 14,301,531.20/4,230.39
  6. Step 6: Final answer
    x = 3,380.66

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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.