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Finding the Fourth Proportional to 3,533, 5,297.16 and 1,684.40

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Solution

The fourth proportional to 3,533, 5,297.16 and 1,684.40 is: 2,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533 : 5,297.16 = 1,684.40 : x
  2. Step 2: Convert to fraction form
    3,533/5,297.16 = 1,684.40/x
  3. Step 3: Cross multiply
    3,533x = 5,297.16 × 1,684.40
  4. Step 4: Simplify right side
    3,533x = 8,922,536.30
  5. Step 5: Solve for x
    x = 8,922,536.30/3,533
  6. Step 6: Final answer
    x = 2,525.48

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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.