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Finding the Fourth Proportional to 4,976.73, 7,465.10 and 2,051.82

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Solution

The fourth proportional to 4,976.73, 7,465.10 and 2,051.82 is: 3,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.73 : 7,465.10 = 2,051.82 : x
  2. Step 2: Convert to fraction form
    4,976.73/7,465.10 = 2,051.82/x
  3. Step 3: Cross multiply
    4,976.73x = 7,465.10 × 2,051.82
  4. Step 4: Simplify right side
    4,976.73x = 15,317,031.22
  5. Step 5: Solve for x
    x = 15,317,031.22/4,976.73
  6. Step 6: Final answer
    x = 3,077.73

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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.