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Finding the Fourth Proportional to 5,365.29, 7,404.44 and 2,975.54

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Solution

The fourth proportional to 5,365.29, 7,404.44 and 2,975.54 is: 4,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.29 : 7,404.44 = 2,975.54 : x
  2. Step 2: Convert to fraction form
    5,365.29/7,404.44 = 2,975.54/x
  3. Step 3: Cross multiply
    5,365.29x = 7,404.44 × 2,975.54
  4. Step 4: Simplify right side
    5,365.29x = 22,032,177.81
  5. Step 5: Solve for x
    x = 22,032,177.81/5,365.29
  6. Step 6: Final answer
    x = 4,106.43

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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.