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Finding the Fourth Proportional to 5,646.18, 8,453.54 and 4,255.22

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Solution

The fourth proportional to 5,646.18, 8,453.54 and 4,255.22 is: 6,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.18 : 8,453.54 = 4,255.22 : x
  2. Step 2: Convert to fraction form
    5,646.18/8,453.54 = 4,255.22/x
  3. Step 3: Cross multiply
    5,646.18x = 8,453.54 × 4,255.22
  4. Step 4: Simplify right side
    5,646.18x = 35,971,672.48
  5. Step 5: Solve for x
    x = 35,971,672.48/5,646.18
  6. Step 6: Final answer
    x = 6,370.98

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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.