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Finding the Fourth Proportional to 3,736.60, 5,602.20 and 1,544.20

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Solution

The fourth proportional to 3,736.60, 5,602.20 and 1,544.20 is: 2,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.60 : 5,602.20 = 1,544.20 : x
  2. Step 2: Convert to fraction form
    3,736.60/5,602.20 = 1,544.20/x
  3. Step 3: Cross multiply
    3,736.60x = 5,602.20 × 1,544.20
  4. Step 4: Simplify right side
    3,736.60x = 8,650,917.24
  5. Step 5: Solve for x
    x = 8,650,917.24/3,736.60
  6. Step 6: Final answer
    x = 2,315.18

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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.