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Finding the Fourth Proportional to 3,552.74, 5,329.75 and 1,471.60

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Solution

The fourth proportional to 3,552.74, 5,329.75 and 1,471.60 is: 2,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.74 : 5,329.75 = 1,471.60 : x
  2. Step 2: Convert to fraction form
    3,552.74/5,329.75 = 1,471.60/x
  3. Step 3: Cross multiply
    3,552.74x = 5,329.75 × 1,471.60
  4. Step 4: Simplify right side
    3,552.74x = 7,843,260.10
  5. Step 5: Solve for x
    x = 7,843,260.10/3,552.74
  6. Step 6: Final answer
    x = 2,207.67

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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.