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Finding the Fourth Proportional to 3,578.65, 5,358.79 and 2,342.45

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Solution

The fourth proportional to 3,578.65, 5,358.79 and 2,342.45 is: 3,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.65 : 5,358.79 = 2,342.45 : x
  2. Step 2: Convert to fraction form
    3,578.65/5,358.79 = 2,342.45/x
  3. Step 3: Cross multiply
    3,578.65x = 5,358.79 × 2,342.45
  4. Step 4: Simplify right side
    3,578.65x = 12,552,713.96
  5. Step 5: Solve for x
    x = 12,552,713.96/3,578.65
  6. Step 6: Final answer
    x = 3,507.67

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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.