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Finding the Fourth Proportional to 3,829.52, 5,770.32 and 3,151.40

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Solution

The fourth proportional to 3,829.52, 5,770.32 and 3,151.40 is: 4,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.52 : 5,770.32 = 3,151.40 : x
  2. Step 2: Convert to fraction form
    3,829.52/5,770.32 = 3,151.40/x
  3. Step 3: Cross multiply
    3,829.52x = 5,770.32 × 3,151.40
  4. Step 4: Simplify right side
    3,829.52x = 18,184,557.60
  5. Step 5: Solve for x
    x = 18,184,557.60/3,829.52
  6. Step 6: Final answer
    x = 4,748.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.