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Finding the Fourth Proportional to 3,570.12, 5,355.81 and 1,378.67

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Solution

The fourth proportional to 3,570.12, 5,355.81 and 1,378.67 is: 2,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.12 : 5,355.81 = 1,378.67 : x
  2. Step 2: Convert to fraction form
    3,570.12/5,355.81 = 1,378.67/x
  3. Step 3: Cross multiply
    3,570.12x = 5,355.81 × 1,378.67
  4. Step 4: Simplify right side
    3,570.12x = 7,383,867.79
  5. Step 5: Solve for x
    x = 7,383,867.79/3,570.12
  6. Step 6: Final answer
    x = 2,068.24

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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.