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Finding the Fourth Proportional to 4,289.49, 6,448.59 and 3,422.88

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Solution

The fourth proportional to 4,289.49, 6,448.59 and 3,422.88 is: 5,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.49 : 6,448.59 = 3,422.88 : x
  2. Step 2: Convert to fraction form
    4,289.49/6,448.59 = 3,422.88/x
  3. Step 3: Cross multiply
    4,289.49x = 6,448.59 × 3,422.88
  4. Step 4: Simplify right side
    4,289.49x = 22,072,749.74
  5. Step 5: Solve for x
    x = 22,072,749.74/4,289.49
  6. Step 6: Final answer
    x = 5,145.77

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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.