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Finding the Fourth Proportional to 5,838, 8,756.96 and 1,678.04

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Solution

The fourth proportional to 5,838, 8,756.96 and 1,678.04 is: 2,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838 : 8,756.96 = 1,678.04 : x
  2. Step 2: Convert to fraction form
    5,838/8,756.96 = 1,678.04/x
  3. Step 3: Cross multiply
    5,838x = 8,756.96 × 1,678.04
  4. Step 4: Simplify right side
    5,838x = 14,694,542.66
  5. Step 5: Solve for x
    x = 14,694,542.66/5,838
  6. Step 6: Final answer
    x = 2,517.05

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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.