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Finding the Fourth Proportional to 3,945.62, 5,925.15 and 3,780.50

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Solution

The fourth proportional to 3,945.62, 5,925.15 and 3,780.50 is: 5,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.62 : 5,925.15 = 3,780.50 : x
  2. Step 2: Convert to fraction form
    3,945.62/5,925.15 = 3,780.50/x
  3. Step 3: Cross multiply
    3,945.62x = 5,925.15 × 3,780.50
  4. Step 4: Simplify right side
    3,945.62x = 22,400,029.58
  5. Step 5: Solve for x
    x = 22,400,029.58/3,945.62
  6. Step 6: Final answer
    x = 5,677.19

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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.