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Finding the Fourth Proportional to 4,923.84, 7,370.24 and 3,941.76

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Solution

The fourth proportional to 4,923.84, 7,370.24 and 3,941.76 is: 5,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.84 : 7,370.24 = 3,941.76 : x
  2. Step 2: Convert to fraction form
    4,923.84/7,370.24 = 3,941.76/x
  3. Step 3: Cross multiply
    4,923.84x = 7,370.24 × 3,941.76
  4. Step 4: Simplify right side
    4,923.84x = 29,051,717.22
  5. Step 5: Solve for x
    x = 29,051,717.22/4,923.84
  6. Step 6: Final answer
    x = 5,900.22

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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.