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Finding the Fourth Proportional to 4,738.69, 7,108.17 and 3,656.26

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Solution

The fourth proportional to 4,738.69, 7,108.17 and 3,656.26 is: 5,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.69 : 7,108.17 = 3,656.26 : x
  2. Step 2: Convert to fraction form
    4,738.69/7,108.17 = 3,656.26/x
  3. Step 3: Cross multiply
    4,738.69x = 7,108.17 × 3,656.26
  4. Step 4: Simplify right side
    4,738.69x = 25,989,317.64
  5. Step 5: Solve for x
    x = 25,989,317.64/4,738.69
  6. Step 6: Final answer
    x = 5,484.49

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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.