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Finding the Fourth Proportional to 3,396.62, 5,088.54 and 1,749.08

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Solution

The fourth proportional to 3,396.62, 5,088.54 and 1,749.08 is: 2,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.62 : 5,088.54 = 1,749.08 : x
  2. Step 2: Convert to fraction form
    3,396.62/5,088.54 = 1,749.08/x
  3. Step 3: Cross multiply
    3,396.62x = 5,088.54 × 1,749.08
  4. Step 4: Simplify right side
    3,396.62x = 8,900,263.54
  5. Step 5: Solve for x
    x = 8,900,263.54/3,396.62
  6. Step 6: Final answer
    x = 2,620.33

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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.