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Finding the Fourth Proportional to 5,664, 8,490.88 and 2,889.12

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Solution

The fourth proportional to 5,664, 8,490.88 and 2,889.12 is: 4,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664 : 8,490.88 = 2,889.12 : x
  2. Step 2: Convert to fraction form
    5,664/8,490.88 = 2,889.12/x
  3. Step 3: Cross multiply
    5,664x = 8,490.88 × 2,889.12
  4. Step 4: Simplify right side
    5,664x = 24,531,171.23
  5. Step 5: Solve for x
    x = 24,531,171.23/5,664
  6. Step 6: Final answer
    x = 4,331.07

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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.