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Finding the Fourth Proportional to 5,664.71, 8,489.30 and 4,276.91

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Solution

The fourth proportional to 5,664.71, 8,489.30 and 4,276.91 is: 6,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.71 : 8,489.30 = 4,276.91 : x
  2. Step 2: Convert to fraction form
    5,664.71/8,489.30 = 4,276.91/x
  3. Step 3: Cross multiply
    5,664.71x = 8,489.30 × 4,276.91
  4. Step 4: Simplify right side
    5,664.71x = 36,308,003.98
  5. Step 5: Solve for x
    x = 36,308,003.98/5,664.71
  6. Step 6: Final answer
    x = 6,409.51

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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.