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Finding the Fourth Proportional to 4,223.63, 6,336.21 and 1,449.59

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Solution

The fourth proportional to 4,223.63, 6,336.21 and 1,449.59 is: 2,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.63 : 6,336.21 = 1,449.59 : x
  2. Step 2: Convert to fraction form
    4,223.63/6,336.21 = 1,449.59/x
  3. Step 3: Cross multiply
    4,223.63x = 6,336.21 × 1,449.59
  4. Step 4: Simplify right side
    4,223.63x = 9,184,867.72
  5. Step 5: Solve for x
    x = 9,184,867.72/4,223.63
  6. Step 6: Final answer
    x = 2,174.64

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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.