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Finding the Fourth Proportional to 3,378.07, 4,662.30 and 3,289.24

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Solution

The fourth proportional to 3,378.07, 4,662.30 and 3,289.24 is: 4,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.07 : 4,662.30 = 3,289.24 : x
  2. Step 2: Convert to fraction form
    3,378.07/4,662.30 = 3,289.24/x
  3. Step 3: Cross multiply
    3,378.07x = 4,662.30 × 3,289.24
  4. Step 4: Simplify right side
    3,378.07x = 15,335,423.65
  5. Step 5: Solve for x
    x = 15,335,423.65/3,378.07
  6. Step 6: Final answer
    x = 4,539.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.