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Finding the Fourth Proportional to 4,738.29, 7,107.42 and 4,731.45

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Solution

The fourth proportional to 4,738.29, 7,107.42 and 4,731.45 is: 7,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.29 : 7,107.42 = 4,731.45 : x
  2. Step 2: Convert to fraction form
    4,738.29/7,107.42 = 4,731.45/x
  3. Step 3: Cross multiply
    4,738.29x = 7,107.42 × 4,731.45
  4. Step 4: Simplify right side
    4,738.29x = 33,628,402.36
  5. Step 5: Solve for x
    x = 33,628,402.36/4,738.29
  6. Step 6: Final answer
    x = 7,097.16

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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.