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Finding the Fourth Proportional to 4,813.74, 7,221.36 and 1,694.16

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Solution

The fourth proportional to 4,813.74, 7,221.36 and 1,694.16 is: 2,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.74 : 7,221.36 = 1,694.16 : x
  2. Step 2: Convert to fraction form
    4,813.74/7,221.36 = 1,694.16/x
  3. Step 3: Cross multiply
    4,813.74x = 7,221.36 × 1,694.16
  4. Step 4: Simplify right side
    4,813.74x = 12,234,139.26
  5. Step 5: Solve for x
    x = 12,234,139.26/4,813.74
  6. Step 6: Final answer
    x = 2,541.50

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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.