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Finding the Fourth Proportional to 5,669.71, 7,825.44 and 3,281.32

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Solution

The fourth proportional to 5,669.71, 7,825.44 and 3,281.32 is: 4,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.71 : 7,825.44 = 3,281.32 : x
  2. Step 2: Convert to fraction form
    5,669.71/7,825.44 = 3,281.32/x
  3. Step 3: Cross multiply
    5,669.71x = 7,825.44 × 3,281.32
  4. Step 4: Simplify right side
    5,669.71x = 25,677,794.87
  5. Step 5: Solve for x
    x = 25,677,794.87/5,669.71
  6. Step 6: Final answer
    x = 4,528.95

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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.