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Finding the Fourth Proportional to 4,937.24, 7,369.83 and 4,314.44

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Solution

The fourth proportional to 4,937.24, 7,369.83 and 4,314.44 is: 6,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.24 : 7,369.83 = 4,314.44 : x
  2. Step 2: Convert to fraction form
    4,937.24/7,369.83 = 4,314.44/x
  3. Step 3: Cross multiply
    4,937.24x = 7,369.83 × 4,314.44
  4. Step 4: Simplify right side
    4,937.24x = 31,796,667.77
  5. Step 5: Solve for x
    x = 31,796,667.77/4,937.24
  6. Step 6: Final answer
    x = 6,440.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.