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Finding the Fourth Proportional to 5,552.63, 7,664.33 and 3,196.34

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Solution

The fourth proportional to 5,552.63, 7,664.33 and 3,196.34 is: 4,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.63 : 7,664.33 = 3,196.34 : x
  2. Step 2: Convert to fraction form
    5,552.63/7,664.33 = 3,196.34/x
  3. Step 3: Cross multiply
    5,552.63x = 7,664.33 × 3,196.34
  4. Step 4: Simplify right side
    5,552.63x = 24,497,750.25
  5. Step 5: Solve for x
    x = 24,497,750.25/5,552.63
  6. Step 6: Final answer
    x = 4,411.92

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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.