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Finding the Fourth Proportional to 6,109.59, 8,428.86 and 4,319.70

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Solution

The fourth proportional to 6,109.59, 8,428.86 and 4,319.70 is: 5,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.59 : 8,428.86 = 4,319.70 : x
  2. Step 2: Convert to fraction form
    6,109.59/8,428.86 = 4,319.70/x
  3. Step 3: Cross multiply
    6,109.59x = 8,428.86 × 4,319.70
  4. Step 4: Simplify right side
    6,109.59x = 36,410,146.54
  5. Step 5: Solve for x
    x = 36,410,146.54/6,109.59
  6. Step 6: Final answer
    x = 5,959.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.