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Finding the Fourth Proportional to 5,183, 7,775.73 and 1,720.25

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Solution

The fourth proportional to 5,183, 7,775.73 and 1,720.25 is: 2,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183 : 7,775.73 = 1,720.25 : x
  2. Step 2: Convert to fraction form
    5,183/7,775.73 = 1,720.25/x
  3. Step 3: Cross multiply
    5,183x = 7,775.73 × 1,720.25
  4. Step 4: Simplify right side
    5,183x = 13,376,199.53
  5. Step 5: Solve for x
    x = 13,376,199.53/5,183
  6. Step 6: Final answer
    x = 2,580.78

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1.5x scale

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.