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Finding the Fourth Proportional to 4,596.27, 6,342.98 and 2,828.89

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Solution

The fourth proportional to 4,596.27, 6,342.98 and 2,828.89 is: 3,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.27 : 6,342.98 = 2,828.89 : x
  2. Step 2: Convert to fraction form
    4,596.27/6,342.98 = 2,828.89/x
  3. Step 3: Cross multiply
    4,596.27x = 6,342.98 × 2,828.89
  4. Step 4: Simplify right side
    4,596.27x = 17,943,592.69
  5. Step 5: Solve for x
    x = 17,943,592.69/4,596.27
  6. Step 6: Final answer
    x = 3,903.95

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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.