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Finding the Fourth Proportional to 4,830.27, 6,664.21 and 2,705.49

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Solution

The fourth proportional to 4,830.27, 6,664.21 and 2,705.49 is: 3,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.27 : 6,664.21 = 2,705.49 : x
  2. Step 2: Convert to fraction form
    4,830.27/6,664.21 = 2,705.49/x
  3. Step 3: Cross multiply
    4,830.27x = 6,664.21 × 2,705.49
  4. Step 4: Simplify right side
    4,830.27x = 18,029,953.51
  5. Step 5: Solve for x
    x = 18,029,953.51/4,830.27
  6. Step 6: Final answer
    x = 3,732.70

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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.