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Finding the Fourth Proportional to 4,311.63, 5,942.97 and 3,314.93

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Solution

The fourth proportional to 4,311.63, 5,942.97 and 3,314.93 is: 4,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.63 : 5,942.97 = 3,314.93 : x
  2. Step 2: Convert to fraction form
    4,311.63/5,942.97 = 3,314.93/x
  3. Step 3: Cross multiply
    4,311.63x = 5,942.97 × 3,314.93
  4. Step 4: Simplify right side
    4,311.63x = 19,700,499.83
  5. Step 5: Solve for x
    x = 19,700,499.83/4,311.63
  6. Step 6: Final answer
    x = 4,569.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.