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Finding the Fourth Proportional to 4,773.64, 7,131.32 and 3,800.83

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Solution

The fourth proportional to 4,773.64, 7,131.32 and 3,800.83 is: 5,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.64 : 7,131.32 = 3,800.83 : x
  2. Step 2: Convert to fraction form
    4,773.64/7,131.32 = 3,800.83/x
  3. Step 3: Cross multiply
    4,773.64x = 7,131.32 × 3,800.83
  4. Step 4: Simplify right side
    4,773.64x = 27,104,935.00
  5. Step 5: Solve for x
    x = 27,104,935.00/4,773.64
  6. Step 6: Final answer
    x = 5,678.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.