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Finding the Fourth Proportional to 3,627.36, 5,005.71 and 2,135.34

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Solution

The fourth proportional to 3,627.36, 5,005.71 and 2,135.34 is: 2,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.36 : 5,005.71 = 2,135.34 : x
  2. Step 2: Convert to fraction form
    3,627.36/5,005.71 = 2,135.34/x
  3. Step 3: Cross multiply
    3,627.36x = 5,005.71 × 2,135.34
  4. Step 4: Simplify right side
    3,627.36x = 10,688,892.79
  5. Step 5: Solve for x
    x = 10,688,892.79/3,627.36
  6. Step 6: Final answer
    x = 2,946.74

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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.