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Finding the Fourth Proportional to 4,596.33, 6,345.29 and 2,828.96

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Solution

The fourth proportional to 4,596.33, 6,345.29 and 2,828.96 is: 3,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.33 : 6,345.29 = 2,828.96 : x
  2. Step 2: Convert to fraction form
    4,596.33/6,345.29 = 2,828.96/x
  3. Step 3: Cross multiply
    4,596.33x = 6,345.29 × 2,828.96
  4. Step 4: Simplify right side
    4,596.33x = 17,950,525.73
  5. Step 5: Solve for x
    x = 17,950,525.73/4,596.33
  6. Step 6: Final answer
    x = 3,905.40

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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.