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Finding the Fourth Proportional to 4,566.96, 6,297.84 and 3,385.98

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Solution

The fourth proportional to 4,566.96, 6,297.84 and 3,385.98 is: 4,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.96 : 6,297.84 = 3,385.98 : x
  2. Step 2: Convert to fraction form
    4,566.96/6,297.84 = 3,385.98/x
  3. Step 3: Cross multiply
    4,566.96x = 6,297.84 × 3,385.98
  4. Step 4: Simplify right side
    4,566.96x = 21,324,360.28
  5. Step 5: Solve for x
    x = 21,324,360.28/4,566.96
  6. Step 6: Final answer
    x = 4,669.27

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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.