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Finding the Fourth Proportional to 5,204.85, 7,807.33 and 1,694.87

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Solution

The fourth proportional to 5,204.85, 7,807.33 and 1,694.87 is: 2,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.85 : 7,807.33 = 1,694.87 : x
  2. Step 2: Convert to fraction form
    5,204.85/7,807.33 = 1,694.87/x
  3. Step 3: Cross multiply
    5,204.85x = 7,807.33 × 1,694.87
  4. Step 4: Simplify right side
    5,204.85x = 13,232,401.76
  5. Step 5: Solve for x
    x = 13,232,401.76/5,204.85
  6. Step 6: Final answer
    x = 2,542.32

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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.