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Finding the Fourth Proportional to 4,847.78, 7,272.38 and 1,559.79

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Solution

The fourth proportional to 4,847.78, 7,272.38 and 1,559.79 is: 2,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.78 : 7,272.38 = 1,559.79 : x
  2. Step 2: Convert to fraction form
    4,847.78/7,272.38 = 1,559.79/x
  3. Step 3: Cross multiply
    4,847.78x = 7,272.38 × 1,559.79
  4. Step 4: Simplify right side
    4,847.78x = 11,343,389.50
  5. Step 5: Solve for x
    x = 11,343,389.50/4,847.78
  6. Step 6: Final answer
    x = 2,339.91

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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.