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Finding the Fourth Proportional to 5,532.45, 7,634.22 and 3,407.64

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Solution

The fourth proportional to 5,532.45, 7,634.22 and 3,407.64 is: 4,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.45 : 7,634.22 = 3,407.64 : x
  2. Step 2: Convert to fraction form
    5,532.45/7,634.22 = 3,407.64/x
  3. Step 3: Cross multiply
    5,532.45x = 7,634.22 × 3,407.64
  4. Step 4: Simplify right side
    5,532.45x = 26,014,673.44
  5. Step 5: Solve for x
    x = 26,014,673.44/5,532.45
  6. Step 6: Final answer
    x = 4,702.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.