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Finding the Fourth Proportional to 4,105.83, 6,148.93 and 2,369.19

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Solution

The fourth proportional to 4,105.83, 6,148.93 and 2,369.19 is: 3,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.83 : 6,148.93 = 2,369.19 : x
  2. Step 2: Convert to fraction form
    4,105.83/6,148.93 = 2,369.19/x
  3. Step 3: Cross multiply
    4,105.83x = 6,148.93 × 2,369.19
  4. Step 4: Simplify right side
    4,105.83x = 14,567,983.47
  5. Step 5: Solve for x
    x = 14,567,983.47/4,105.83
  6. Step 6: Final answer
    x = 3,548.12

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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.