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Finding the Fourth Proportional to 4,947.44, 7,424.91 and 1,830.39

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Solution

The fourth proportional to 4,947.44, 7,424.91 and 1,830.39 is: 2,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.44 : 7,424.91 = 1,830.39 : x
  2. Step 2: Convert to fraction form
    4,947.44/7,424.91 = 1,830.39/x
  3. Step 3: Cross multiply
    4,947.44x = 7,424.91 × 1,830.39
  4. Step 4: Simplify right side
    4,947.44x = 13,590,481.01
  5. Step 5: Solve for x
    x = 13,590,481.01/4,947.44
  6. Step 6: Final answer
    x = 2,746.98

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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.