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Finding the Fourth Proportional to 4,574.53, 6,863.01 and 1,976.86

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Solution

The fourth proportional to 4,574.53, 6,863.01 and 1,976.86 is: 2,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.53 : 6,863.01 = 1,976.86 : x
  2. Step 2: Convert to fraction form
    4,574.53/6,863.01 = 1,976.86/x
  3. Step 3: Cross multiply
    4,574.53x = 6,863.01 × 1,976.86
  4. Step 4: Simplify right side
    4,574.53x = 13,567,209.95
  5. Step 5: Solve for x
    x = 13,567,209.95/4,574.53
  6. Step 6: Final answer
    x = 2,965.82

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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.