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Finding the Fourth Proportional to 4,976.73, 7,466.00 and 1,689.65

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Solution

The fourth proportional to 4,976.73, 7,466.00 and 1,689.65 is: 2,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.73 : 7,466.00 = 1,689.65 : x
  2. Step 2: Convert to fraction form
    4,976.73/7,466.00 = 1,689.65/x
  3. Step 3: Cross multiply
    4,976.73x = 7,466.00 × 1,689.65
  4. Step 4: Simplify right side
    4,976.73x = 12,614,881.12
  5. Step 5: Solve for x
    x = 12,614,881.12/4,976.73
  6. Step 6: Final answer
    x = 2,534.77

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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.