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Finding the Fourth Proportional to 4,976.92, 7,465.38 and 2,237.72

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Solution

The fourth proportional to 4,976.92, 7,465.38 and 2,237.72 is: 3,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.92 : 7,465.38 = 2,237.72 : x
  2. Step 2: Convert to fraction form
    4,976.92/7,465.38 = 2,237.72/x
  3. Step 3: Cross multiply
    4,976.92x = 7,465.38 × 2,237.72
  4. Step 4: Simplify right side
    4,976.92x = 16,705,430.13
  5. Step 5: Solve for x
    x = 16,705,430.13/4,976.92
  6. Step 6: Final answer
    x = 3,356.58

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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.