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Finding the Fourth Proportional to 3,627.60, 5,005.94 and 2,135.18

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Solution

The fourth proportional to 3,627.60, 5,005.94 and 2,135.18 is: 2,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.60 : 5,005.94 = 2,135.18 : x
  2. Step 2: Convert to fraction form
    3,627.60/5,005.94 = 2,135.18/x
  3. Step 3: Cross multiply
    3,627.60x = 5,005.94 × 2,135.18
  4. Step 4: Simplify right side
    3,627.60x = 10,688,582.97
  5. Step 5: Solve for x
    x = 10,688,582.97/3,627.60
  6. Step 6: Final answer
    x = 2,946.46

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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.