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Finding the Fourth Proportional to 3,854.85, 5,782.26 and 933.15

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Solution

The fourth proportional to 3,854.85, 5,782.26 and 933.15 is: 1,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.85 : 5,782.26 = 933.15 : x
  2. Step 2: Convert to fraction form
    3,854.85/5,782.26 = 933.15/x
  3. Step 3: Cross multiply
    3,854.85x = 5,782.26 × 933.15
  4. Step 4: Simplify right side
    3,854.85x = 5,395,715.92
  5. Step 5: Solve for x
    x = 5,395,715.92/3,854.85
  6. Step 6: Final answer
    x = 1,399.72

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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.