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Finding the Fourth Proportional to 4,349.83, 6,525.10 and 1,229.86

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Solution

The fourth proportional to 4,349.83, 6,525.10 and 1,229.86 is: 1,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.83 : 6,525.10 = 1,229.86 : x
  2. Step 2: Convert to fraction form
    4,349.83/6,525.10 = 1,229.86/x
  3. Step 3: Cross multiply
    4,349.83x = 6,525.10 × 1,229.86
  4. Step 4: Simplify right side
    4,349.83x = 8,024,964.57
  5. Step 5: Solve for x
    x = 8,024,964.57/4,349.83
  6. Step 6: Final answer
    x = 1,844.89

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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.