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Finding the Fourth Proportional to 5,694.85, 8,545 and 3,097.78

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Solution

The fourth proportional to 5,694.85, 8,545 and 3,097.78 is: 4,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.85 : 8,545 = 3,097.78 : x
  2. Step 2: Convert to fraction form
    5,694.85/8,545 = 3,097.78/x
  3. Step 3: Cross multiply
    5,694.85x = 8,545 × 3,097.78
  4. Step 4: Simplify right side
    5,694.85x = 26,470,551.46
  5. Step 5: Solve for x
    x = 26,470,551.46/5,694.85
  6. Step 6: Final answer
    x = 4,648.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.