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Finding the Fourth Proportional to 4,694.52, 7,024.16 and 2,813.50

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Solution

The fourth proportional to 4,694.52, 7,024.16 and 2,813.50 is: 4,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.52 : 7,024.16 = 2,813.50 : x
  2. Step 2: Convert to fraction form
    4,694.52/7,024.16 = 2,813.50/x
  3. Step 3: Cross multiply
    4,694.52x = 7,024.16 × 2,813.50
  4. Step 4: Simplify right side
    4,694.52x = 19,762,474.16
  5. Step 5: Solve for x
    x = 19,762,474.16/4,694.52
  6. Step 6: Final answer
    x = 4,209.69

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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.