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Finding the Fourth Proportional to 5,182, 7,774.22 and 1,719.26

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Solution

The fourth proportional to 5,182, 7,774.22 and 1,719.26 is: 2,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182 : 7,774.22 = 1,719.26 : x
  2. Step 2: Convert to fraction form
    5,182/7,774.22 = 1,719.26/x
  3. Step 3: Cross multiply
    5,182x = 7,774.22 × 1,719.26
  4. Step 4: Simplify right side
    5,182x = 13,365,905.48
  5. Step 5: Solve for x
    x = 13,365,905.48/5,182
  6. Step 6: Final answer
    x = 2,579.29

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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.