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Finding the Fourth Proportional to 3,536.72, 5,269.54 and 3,338

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Solution

The fourth proportional to 3,536.72, 5,269.54 and 3,338 is: 4,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.72 : 5,269.54 = 3,338 : x
  2. Step 2: Convert to fraction form
    3,536.72/5,269.54 = 3,338/x
  3. Step 3: Cross multiply
    3,536.72x = 5,269.54 × 3,338
  4. Step 4: Simplify right side
    3,536.72x = 17,589,707.83
  5. Step 5: Solve for x
    x = 17,589,707.83/3,536.72
  6. Step 6: Final answer
    x = 4,973.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.