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Finding the Fourth Proportional to 3,790.55, 5,686.83 and 1,449.32

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Solution

The fourth proportional to 3,790.55, 5,686.83 and 1,449.32 is: 2,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.55 : 5,686.83 = 1,449.32 : x
  2. Step 2: Convert to fraction form
    3,790.55/5,686.83 = 1,449.32/x
  3. Step 3: Cross multiply
    3,790.55x = 5,686.83 × 1,449.32
  4. Step 4: Simplify right side
    3,790.55x = 8,242,008.02
  5. Step 5: Solve for x
    x = 8,242,008.02/3,790.55
  6. Step 6: Final answer
    x = 2,174.36

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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.