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Finding the Fourth Proportional to 5,183.19, 7,776 and 2,716.74

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Solution

The fourth proportional to 5,183.19, 7,776 and 2,716.74 is: 4,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.19 : 7,776 = 2,716.74 : x
  2. Step 2: Convert to fraction form
    5,183.19/7,776 = 2,716.74/x
  3. Step 3: Cross multiply
    5,183.19x = 7,776 × 2,716.74
  4. Step 4: Simplify right side
    5,183.19x = 21,125,370.24
  5. Step 5: Solve for x
    x = 21,125,370.24/5,183.19
  6. Step 6: Final answer
    x = 4,075.75

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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.