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Finding the Fourth Proportional to 4,231.71, 6,345.95 and 2,498.31

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Solution

The fourth proportional to 4,231.71, 6,345.95 and 2,498.31 is: 3,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.71 : 6,345.95 = 2,498.31 : x
  2. Step 2: Convert to fraction form
    4,231.71/6,345.95 = 2,498.31/x
  3. Step 3: Cross multiply
    4,231.71x = 6,345.95 × 2,498.31
  4. Step 4: Simplify right side
    4,231.71x = 15,854,137.85
  5. Step 5: Solve for x
    x = 15,854,137.85/4,231.71
  6. Step 6: Final answer
    x = 3,746.51

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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.