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Finding the Fourth Proportional to 5,362.72, 7,400.55 and 3,005.32

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Solution

The fourth proportional to 5,362.72, 7,400.55 and 3,005.32 is: 4,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.72 : 7,400.55 = 3,005.32 : x
  2. Step 2: Convert to fraction form
    5,362.72/7,400.55 = 3,005.32/x
  3. Step 3: Cross multiply
    5,362.72x = 7,400.55 × 3,005.32
  4. Step 4: Simplify right side
    5,362.72x = 22,241,020.93
  5. Step 5: Solve for x
    x = 22,241,020.93/5,362.72
  6. Step 6: Final answer
    x = 4,147.34

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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.