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Finding the Fourth Proportional to 4,788.74, 7,185.54 and 3,406.07

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Solution

The fourth proportional to 4,788.74, 7,185.54 and 3,406.07 is: 5,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.74 : 7,185.54 = 3,406.07 : x
  2. Step 2: Convert to fraction form
    4,788.74/7,185.54 = 3,406.07/x
  3. Step 3: Cross multiply
    4,788.74x = 7,185.54 × 3,406.07
  4. Step 4: Simplify right side
    4,788.74x = 24,474,452.23
  5. Step 5: Solve for x
    x = 24,474,452.23/4,788.74
  6. Step 6: Final answer
    x = 5,110.83

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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.