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Finding the Fourth Proportional to 4,788.92, 7,186.25 and 2,015.42

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Solution

The fourth proportional to 4,788.92, 7,186.25 and 2,015.42 is: 3,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.92 : 7,186.25 = 2,015.42 : x
  2. Step 2: Convert to fraction form
    4,788.92/7,186.25 = 2,015.42/x
  3. Step 3: Cross multiply
    4,788.92x = 7,186.25 × 2,015.42
  4. Step 4: Simplify right side
    4,788.92x = 14,483,281.08
  5. Step 5: Solve for x
    x = 14,483,281.08/4,788.92
  6. Step 6: Final answer
    x = 3,024.33

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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.