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Finding the Fourth Proportional to 3,125.22, 4,687.83 and 933.77

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Solution

The fourth proportional to 3,125.22, 4,687.83 and 933.77 is: 1,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.22 : 4,687.83 = 933.77 : x
  2. Step 2: Convert to fraction form
    3,125.22/4,687.83 = 933.77/x
  3. Step 3: Cross multiply
    3,125.22x = 4,687.83 × 933.77
  4. Step 4: Simplify right side
    3,125.22x = 4,377,366.74
  5. Step 5: Solve for x
    x = 4,377,366.74/3,125.22
  6. Step 6: Final answer
    x = 1,400.66

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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.