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Finding the Fourth Proportional to 3,645.06, 5,470.24 and 1,454.41

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Solution

The fourth proportional to 3,645.06, 5,470.24 and 1,454.41 is: 2,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.06 : 5,470.24 = 1,454.41 : x
  2. Step 2: Convert to fraction form
    3,645.06/5,470.24 = 1,454.41/x
  3. Step 3: Cross multiply
    3,645.06x = 5,470.24 × 1,454.41
  4. Step 4: Simplify right side
    3,645.06x = 7,955,971.76
  5. Step 5: Solve for x
    x = 7,955,971.76/3,645.06
  6. Step 6: Final answer
    x = 2,182.67

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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.