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Finding the Fourth Proportional to 3,580.09, 5,366.93 and 1,824.10

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Solution

The fourth proportional to 3,580.09, 5,366.93 and 1,824.10 is: 2,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.09 : 5,366.93 = 1,824.10 : x
  2. Step 2: Convert to fraction form
    3,580.09/5,366.93 = 1,824.10/x
  3. Step 3: Cross multiply
    3,580.09x = 5,366.93 × 1,824.10
  4. Step 4: Simplify right side
    3,580.09x = 9,789,794.48
  5. Step 5: Solve for x
    x = 9,789,794.48/3,580.09
  6. Step 6: Final answer
    x = 2,734.51

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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.