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Finding the Fourth Proportional to 3,734.90, 5,602.33 and 1,137.86

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Solution

The fourth proportional to 3,734.90, 5,602.33 and 1,137.86 is: 1,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.90 : 5,602.33 = 1,137.86 : x
  2. Step 2: Convert to fraction form
    3,734.90/5,602.33 = 1,137.86/x
  3. Step 3: Cross multiply
    3,734.90x = 5,602.33 × 1,137.86
  4. Step 4: Simplify right side
    3,734.90x = 6,374,667.21
  5. Step 5: Solve for x
    x = 6,374,667.21/3,734.90
  6. Step 6: Final answer
    x = 1,706.78

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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.