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Finding the Fourth Proportional to 5,315.77, 7,328.15 and 3,738.97

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Solution

The fourth proportional to 5,315.77, 7,328.15 and 3,738.97 is: 5,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.77 : 7,328.15 = 3,738.97 : x
  2. Step 2: Convert to fraction form
    5,315.77/7,328.15 = 3,738.97/x
  3. Step 3: Cross multiply
    5,315.77x = 7,328.15 × 3,738.97
  4. Step 4: Simplify right side
    5,315.77x = 27,399,696.36
  5. Step 5: Solve for x
    x = 27,399,696.36/5,315.77
  6. Step 6: Final answer
    x = 5,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.