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Finding the Fourth Proportional to 3,707.21, 5,560.81 and 933.89

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Solution

The fourth proportional to 3,707.21, 5,560.81 and 933.89 is: 1,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.21 : 5,560.81 = 933.89 : x
  2. Step 2: Convert to fraction form
    3,707.21/5,560.81 = 933.89/x
  3. Step 3: Cross multiply
    3,707.21x = 5,560.81 × 933.89
  4. Step 4: Simplify right side
    3,707.21x = 5,193,184.85
  5. Step 5: Solve for x
    x = 5,193,184.85/3,707.21
  6. Step 6: Final answer
    x = 1,400.83

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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.