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Finding the Fourth Proportional to 4,867.83, 7,297.11 and 1,578.87

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Solution

The fourth proportional to 4,867.83, 7,297.11 and 1,578.87 is: 2,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.83 : 7,297.11 = 1,578.87 : x
  2. Step 2: Convert to fraction form
    4,867.83/7,297.11 = 1,578.87/x
  3. Step 3: Cross multiply
    4,867.83x = 7,297.11 × 1,578.87
  4. Step 4: Simplify right side
    4,867.83x = 11,521,188.07
  5. Step 5: Solve for x
    x = 11,521,188.07/4,867.83
  6. Step 6: Final answer
    x = 2,366.80

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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.