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Finding the Fourth Proportional to 4,640.91, 6,957.99 and 1,519.92

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Solution

The fourth proportional to 4,640.91, 6,957.99 and 1,519.92 is: 2,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.91 : 6,957.99 = 1,519.92 : x
  2. Step 2: Convert to fraction form
    4,640.91/6,957.99 = 1,519.92/x
  3. Step 3: Cross multiply
    4,640.91x = 6,957.99 × 1,519.92
  4. Step 4: Simplify right side
    4,640.91x = 10,575,588.16
  5. Step 5: Solve for x
    x = 10,575,588.16/4,640.91
  6. Step 6: Final answer
    x = 2,278.77

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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.