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Finding the Fourth Proportional to 5,948.72, 8,914.80 and 3,019.76

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Solution

The fourth proportional to 5,948.72, 8,914.80 and 3,019.76 is: 4,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.72 : 8,914.80 = 3,019.76 : x
  2. Step 2: Convert to fraction form
    5,948.72/8,914.80 = 3,019.76/x
  3. Step 3: Cross multiply
    5,948.72x = 8,914.80 × 3,019.76
  4. Step 4: Simplify right side
    5,948.72x = 26,920,556.45
  5. Step 5: Solve for x
    x = 26,920,556.45/5,948.72
  6. Step 6: Final answer
    x = 4,525.44

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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.