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Finding the Fourth Proportional to 4,747.53, 7,127.61 and 4,058.64

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Solution

The fourth proportional to 4,747.53, 7,127.61 and 4,058.64 is: 6,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.53 : 7,127.61 = 4,058.64 : x
  2. Step 2: Convert to fraction form
    4,747.53/7,127.61 = 4,058.64/x
  3. Step 3: Cross multiply
    4,747.53x = 7,127.61 × 4,058.64
  4. Step 4: Simplify right side
    4,747.53x = 28,928,403.05
  5. Step 5: Solve for x
    x = 28,928,403.05/4,747.53
  6. Step 6: Final answer
    x = 6,093.36

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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.