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Finding the Fourth Proportional to 4,197.83, 6,292.49 and 2,349.81

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Solution

The fourth proportional to 4,197.83, 6,292.49 and 2,349.81 is: 3,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.83 : 6,292.49 = 2,349.81 : x
  2. Step 2: Convert to fraction form
    4,197.83/6,292.49 = 2,349.81/x
  3. Step 3: Cross multiply
    4,197.83x = 6,292.49 × 2,349.81
  4. Step 4: Simplify right side
    4,197.83x = 14,786,144.18
  5. Step 5: Solve for x
    x = 14,786,144.18/4,197.83
  6. Step 6: Final answer
    x = 3,522.33

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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.