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Finding the Fourth Proportional to 4,257.94, 6,346.66 and 4,049.98

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Solution

The fourth proportional to 4,257.94, 6,346.66 and 4,049.98 is: 6,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.94 : 6,346.66 = 4,049.98 : x
  2. Step 2: Convert to fraction form
    4,257.94/6,346.66 = 4,049.98/x
  3. Step 3: Cross multiply
    4,257.94x = 6,346.66 × 4,049.98
  4. Step 4: Simplify right side
    4,257.94x = 25,703,846.07
  5. Step 5: Solve for x
    x = 25,703,846.07/4,257.94
  6. Step 6: Final answer
    x = 6,036.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.