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Finding the Fourth Proportional to 4,296.77, 6,444.09 and 3,140.39

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Solution

The fourth proportional to 4,296.77, 6,444.09 and 3,140.39 is: 4,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.77 : 6,444.09 = 3,140.39 : x
  2. Step 2: Convert to fraction form
    4,296.77/6,444.09 = 3,140.39/x
  3. Step 3: Cross multiply
    4,296.77x = 6,444.09 × 3,140.39
  4. Step 4: Simplify right side
    4,296.77x = 20,236,955.80
  5. Step 5: Solve for x
    x = 20,236,955.80/4,296.77
  6. Step 6: Final answer
    x = 4,709.81

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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.