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Finding the Fourth Proportional to 3,735.61, 5,602.07 and 1,236.34

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Solution

The fourth proportional to 3,735.61, 5,602.07 and 1,236.34 is: 1,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.61 : 5,602.07 = 1,236.34 : x
  2. Step 2: Convert to fraction form
    3,735.61/5,602.07 = 1,236.34/x
  3. Step 3: Cross multiply
    3,735.61x = 5,602.07 × 1,236.34
  4. Step 4: Simplify right side
    3,735.61x = 6,926,035.21
  5. Step 5: Solve for x
    x = 6,926,035.21/3,735.61
  6. Step 6: Final answer
    x = 1,854.06

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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.