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Finding the Fourth Proportional to 5,656.26, 8,493.06 and 5,406.68

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Solution

The fourth proportional to 5,656.26, 8,493.06 and 5,406.68 is: 8,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.26 : 8,493.06 = 5,406.68 : x
  2. Step 2: Convert to fraction form
    5,656.26/8,493.06 = 5,406.68/x
  3. Step 3: Cross multiply
    5,656.26x = 8,493.06 × 5,406.68
  4. Step 4: Simplify right side
    5,656.26x = 45,919,257.64
  5. Step 5: Solve for x
    x = 45,919,257.64/5,656.26
  6. Step 6: Final answer
    x = 8,118.31

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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.