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Finding the Fourth Proportional to 3,881.34, 5,823.27 and 3,649.32

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Solution

The fourth proportional to 3,881.34, 5,823.27 and 3,649.32 is: 5,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.34 : 5,823.27 = 3,649.32 : x
  2. Step 2: Convert to fraction form
    3,881.34/5,823.27 = 3,649.32/x
  3. Step 3: Cross multiply
    3,881.34x = 5,823.27 × 3,649.32
  4. Step 4: Simplify right side
    3,881.34x = 21,250,975.68
  5. Step 5: Solve for x
    x = 21,250,975.68/3,881.34
  6. Step 6: Final answer
    x = 5,475.16

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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.