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Finding the Fourth Proportional to 4,736.78, 7,089.36 and 3,563.93

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Solution

The fourth proportional to 4,736.78, 7,089.36 and 3,563.93 is: 5,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.78 : 7,089.36 = 3,563.93 : x
  2. Step 2: Convert to fraction form
    4,736.78/7,089.36 = 3,563.93/x
  3. Step 3: Cross multiply
    4,736.78x = 7,089.36 × 3,563.93
  4. Step 4: Simplify right side
    4,736.78x = 25,265,947.34
  5. Step 5: Solve for x
    x = 25,265,947.34/4,736.78
  6. Step 6: Final answer
    x = 5,334.00

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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.