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Finding the Fourth Proportional to 4,859.70, 6,705.09 and 3,285.06

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Solution

The fourth proportional to 4,859.70, 6,705.09 and 3,285.06 is: 4,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.70 : 6,705.09 = 3,285.06 : x
  2. Step 2: Convert to fraction form
    4,859.70/6,705.09 = 3,285.06/x
  3. Step 3: Cross multiply
    4,859.70x = 6,705.09 × 3,285.06
  4. Step 4: Simplify right side
    4,859.70x = 22,026,622.96
  5. Step 5: Solve for x
    x = 22,026,622.96/4,859.70
  6. Step 6: Final answer
    x = 4,532.51

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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.