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Finding the Fourth Proportional to 5,164.26, 7,746.48 and 4,763.04

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Solution

The fourth proportional to 5,164.26, 7,746.48 and 4,763.04 is: 7,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.26 : 7,746.48 = 4,763.04 : x
  2. Step 2: Convert to fraction form
    5,164.26/7,746.48 = 4,763.04/x
  3. Step 3: Cross multiply
    5,164.26x = 7,746.48 × 4,763.04
  4. Step 4: Simplify right side
    5,164.26x = 36,896,794.10
  5. Step 5: Solve for x
    x = 36,896,794.10/5,164.26
  6. Step 6: Final answer
    x = 7,144.64

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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.