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Finding the Fourth Proportional to 4,230.77, 6,347.57 and 2,039.24

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Solution

The fourth proportional to 4,230.77, 6,347.57 and 2,039.24 is: 3,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.77 : 6,347.57 = 2,039.24 : x
  2. Step 2: Convert to fraction form
    4,230.77/6,347.57 = 2,039.24/x
  3. Step 3: Cross multiply
    4,230.77x = 6,347.57 × 2,039.24
  4. Step 4: Simplify right side
    4,230.77x = 12,944,224.32
  5. Step 5: Solve for x
    x = 12,944,224.32/4,230.77
  6. Step 6: Final answer
    x = 3,059.55

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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.