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Finding the Fourth Proportional to 4,706.83, 7,057.48 and 3,244.27

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Solution

The fourth proportional to 4,706.83, 7,057.48 and 3,244.27 is: 4,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.83 : 7,057.48 = 3,244.27 : x
  2. Step 2: Convert to fraction form
    4,706.83/7,057.48 = 3,244.27/x
  3. Step 3: Cross multiply
    4,706.83x = 7,057.48 × 3,244.27
  4. Step 4: Simplify right side
    4,706.83x = 22,896,364.20
  5. Step 5: Solve for x
    x = 22,896,364.20/4,706.83
  6. Step 6: Final answer
    x = 4,864.50

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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.