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Finding the Fourth Proportional to 5,182.24, 7,773.56 and 1,719.40

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Solution

The fourth proportional to 5,182.24, 7,773.56 and 1,719.40 is: 2,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.24 : 7,773.56 = 1,719.40 : x
  2. Step 2: Convert to fraction form
    5,182.24/7,773.56 = 1,719.40/x
  3. Step 3: Cross multiply
    5,182.24x = 7,773.56 × 1,719.40
  4. Step 4: Simplify right side
    5,182.24x = 13,365,859.06
  5. Step 5: Solve for x
    x = 13,365,859.06/5,182.24
  6. Step 6: Final answer
    x = 2,579.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.