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Finding the Fourth Proportional to 5,650.63, 8,458.09 and 5,056.22

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Solution

The fourth proportional to 5,650.63, 8,458.09 and 5,056.22 is: 7,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.63 : 8,458.09 = 5,056.22 : x
  2. Step 2: Convert to fraction form
    5,650.63/8,458.09 = 5,056.22/x
  3. Step 3: Cross multiply
    5,650.63x = 8,458.09 × 5,056.22
  4. Step 4: Simplify right side
    5,650.63x = 42,765,972.32
  5. Step 5: Solve for x
    x = 42,765,972.32/5,650.63
  6. Step 6: Final answer
    x = 7,568.36

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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.