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Finding the Fourth Proportional to 4,596.66, 6,890.13 and 2,257.38

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Solution

The fourth proportional to 4,596.66, 6,890.13 and 2,257.38 is: 3,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.66 : 6,890.13 = 2,257.38 : x
  2. Step 2: Convert to fraction form
    4,596.66/6,890.13 = 2,257.38/x
  3. Step 3: Cross multiply
    4,596.66x = 6,890.13 × 2,257.38
  4. Step 4: Simplify right side
    4,596.66x = 15,553,641.66
  5. Step 5: Solve for x
    x = 15,553,641.66/4,596.66
  6. Step 6: Final answer
    x = 3,383.68

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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.