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Finding the Fourth Proportional to 4,612.75, 6,905.00 and 3,727.01

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Solution

The fourth proportional to 4,612.75, 6,905.00 and 3,727.01 is: 5,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.75 : 6,905.00 = 3,727.01 : x
  2. Step 2: Convert to fraction form
    4,612.75/6,905.00 = 3,727.01/x
  3. Step 3: Cross multiply
    4,612.75x = 6,905.00 × 3,727.01
  4. Step 4: Simplify right side
    4,612.75x = 25,735,009.67
  5. Step 5: Solve for x
    x = 25,735,009.67/4,612.75
  6. Step 6: Final answer
    x = 5,579.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.