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Finding the Fourth Proportional to 4,923.84, 7,340.96 and 4,369.80

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Solution

The fourth proportional to 4,923.84, 7,340.96 and 4,369.80 is: 6,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.84 : 7,340.96 = 4,369.80 : x
  2. Step 2: Convert to fraction form
    4,923.84/7,340.96 = 4,369.80/x
  3. Step 3: Cross multiply
    4,923.84x = 7,340.96 × 4,369.80
  4. Step 4: Simplify right side
    4,923.84x = 32,078,505.16
  5. Step 5: Solve for x
    x = 32,078,505.16/4,923.84
  6. Step 6: Final answer
    x = 6,514.94

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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.