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Finding the Fourth Proportional to 3,866.00, 5,798.97 and 944.30

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Solution

The fourth proportional to 3,866.00, 5,798.97 and 944.30 is: 1,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.00 : 5,798.97 = 944.30 : x
  2. Step 2: Convert to fraction form
    3,866.00/5,798.97 = 944.30/x
  3. Step 3: Cross multiply
    3,866.00x = 5,798.97 × 944.30
  4. Step 4: Simplify right side
    3,866.00x = 5,475,981.87
  5. Step 5: Solve for x
    x = 5,475,981.87/3,866.00
  6. Step 6: Final answer
    x = 1,416.45

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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.