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Finding the Fourth Proportional to 3,047.36, 4,571.06 and 1,099.56

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Solution

The fourth proportional to 3,047.36, 4,571.06 and 1,099.56 is: 1,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.36 : 4,571.06 = 1,099.56 : x
  2. Step 2: Convert to fraction form
    3,047.36/4,571.06 = 1,099.56/x
  3. Step 3: Cross multiply
    3,047.36x = 4,571.06 × 1,099.56
  4. Step 4: Simplify right side
    3,047.36x = 5,026,154.73
  5. Step 5: Solve for x
    x = 5,026,154.73/3,047.36
  6. Step 6: Final answer
    x = 1,649.35

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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.