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Finding the Fourth Proportional to 4,342.06, 6,509.42 and 2,951.49

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Solution

The fourth proportional to 4,342.06, 6,509.42 and 2,951.49 is: 4,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.06 : 6,509.42 = 2,951.49 : x
  2. Step 2: Convert to fraction form
    4,342.06/6,509.42 = 2,951.49/x
  3. Step 3: Cross multiply
    4,342.06x = 6,509.42 × 2,951.49
  4. Step 4: Simplify right side
    4,342.06x = 19,212,488.04
  5. Step 5: Solve for x
    x = 19,212,488.04/4,342.06
  6. Step 6: Final answer
    x = 4,424.75

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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.