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Finding the Fourth Proportional to 3,400.94, 5,101.40 and 935.77

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Solution

The fourth proportional to 3,400.94, 5,101.40 and 935.77 is: 1,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.94 : 5,101.40 = 935.77 : x
  2. Step 2: Convert to fraction form
    3,400.94/5,101.40 = 935.77/x
  3. Step 3: Cross multiply
    3,400.94x = 5,101.40 × 935.77
  4. Step 4: Simplify right side
    3,400.94x = 4,773,737.08
  5. Step 5: Solve for x
    x = 4,773,737.08/3,400.94
  6. Step 6: Final answer
    x = 1,403.65

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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.