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Finding the Fourth Proportional to 4,951.54, 7,427.32 and 2,029.32

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Solution

The fourth proportional to 4,951.54, 7,427.32 and 2,029.32 is: 3,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.54 : 7,427.32 = 2,029.32 : x
  2. Step 2: Convert to fraction form
    4,951.54/7,427.32 = 2,029.32/x
  3. Step 3: Cross multiply
    4,951.54x = 7,427.32 × 2,029.32
  4. Step 4: Simplify right side
    4,951.54x = 15,072,409.02
  5. Step 5: Solve for x
    x = 15,072,409.02/4,951.54
  6. Step 6: Final answer
    x = 3,043.98

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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.