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Finding the Fourth Proportional to 4,788.61, 7,183.36 and 2,014.77

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Solution

The fourth proportional to 4,788.61, 7,183.36 and 2,014.77 is: 3,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.61 : 7,183.36 = 2,014.77 : x
  2. Step 2: Convert to fraction form
    4,788.61/7,183.36 = 2,014.77/x
  3. Step 3: Cross multiply
    4,788.61x = 7,183.36 × 2,014.77
  4. Step 4: Simplify right side
    4,788.61x = 14,472,818.23
  5. Step 5: Solve for x
    x = 14,472,818.23/4,788.61
  6. Step 6: Final answer
    x = 3,022.34

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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.