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Finding the Fourth Proportional to 4,323.34, 5,963.79 and 2,923.66

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Solution

The fourth proportional to 4,323.34, 5,963.79 and 2,923.66 is: 4,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.34 : 5,963.79 = 2,923.66 : x
  2. Step 2: Convert to fraction form
    4,323.34/5,963.79 = 2,923.66/x
  3. Step 3: Cross multiply
    4,323.34x = 5,963.79 × 2,923.66
  4. Step 4: Simplify right side
    4,323.34x = 17,436,094.27
  5. Step 5: Solve for x
    x = 17,436,094.27/4,323.34
  6. Step 6: Final answer
    x = 4,033.01

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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.