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Finding the Fourth Proportional to 5,821.04, 8,728.32 and 1,923.32

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Solution

The fourth proportional to 5,821.04, 8,728.32 and 1,923.32 is: 2,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.04 : 8,728.32 = 1,923.32 : x
  2. Step 2: Convert to fraction form
    5,821.04/8,728.32 = 1,923.32/x
  3. Step 3: Cross multiply
    5,821.04x = 8,728.32 × 1,923.32
  4. Step 4: Simplify right side
    5,821.04x = 16,787,352.42
  5. Step 5: Solve for x
    x = 16,787,352.42/5,821.04
  6. Step 6: Final answer
    x = 2,883.91

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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.