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Finding the Fourth Proportional to 5,602.88, 7,735.19 and 3,717.02

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Solution

The fourth proportional to 5,602.88, 7,735.19 and 3,717.02 is: 5,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.88 : 7,735.19 = 3,717.02 : x
  2. Step 2: Convert to fraction form
    5,602.88/7,735.19 = 3,717.02/x
  3. Step 3: Cross multiply
    5,602.88x = 7,735.19 × 3,717.02
  4. Step 4: Simplify right side
    5,602.88x = 28,751,884.56
  5. Step 5: Solve for x
    x = 28,751,884.56/5,602.88
  6. Step 6: Final answer
    x = 5,131.62

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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.