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Finding the Fourth Proportional to 5,005.36, 7,546.03 and 4,737.52

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Solution

The fourth proportional to 5,005.36, 7,546.03 and 4,737.52 is: 7,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.36 : 7,546.03 = 4,737.52 : x
  2. Step 2: Convert to fraction form
    5,005.36/7,546.03 = 4,737.52/x
  3. Step 3: Cross multiply
    5,005.36x = 7,546.03 × 4,737.52
  4. Step 4: Simplify right side
    5,005.36x = 35,749,468.05
  5. Step 5: Solve for x
    x = 35,749,468.05/5,005.36
  6. Step 6: Final answer
    x = 7,142.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.