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Finding the Fourth Proportional to 5,390.71, 8,087.27 and 1,642.82

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Solution

The fourth proportional to 5,390.71, 8,087.27 and 1,642.82 is: 2,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.71 : 8,087.27 = 1,642.82 : x
  2. Step 2: Convert to fraction form
    5,390.71/8,087.27 = 1,642.82/x
  3. Step 3: Cross multiply
    5,390.71x = 8,087.27 × 1,642.82
  4. Step 4: Simplify right side
    5,390.71x = 13,285,953.23
  5. Step 5: Solve for x
    x = 13,285,953.23/5,390.71
  6. Step 6: Final answer
    x = 2,464.60

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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.