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Finding the Fourth Proportional to 6,498.57, 8,960.97 and 4,137.69

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Solution

The fourth proportional to 6,498.57, 8,960.97 and 4,137.69 is: 5,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.57 : 8,960.97 = 4,137.69 : x
  2. Step 2: Convert to fraction form
    6,498.57/8,960.97 = 4,137.69/x
  3. Step 3: Cross multiply
    6,498.57x = 8,960.97 × 4,137.69
  4. Step 4: Simplify right side
    6,498.57x = 37,077,715.96
  5. Step 5: Solve for x
    x = 37,077,715.96/6,498.57
  6. Step 6: Final answer
    x = 5,705.52

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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.