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Finding the Fourth Proportional to 4,978.12, 7,467 and 2,054.24

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Solution

The fourth proportional to 4,978.12, 7,467 and 2,054.24 is: 3,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.12 : 7,467 = 2,054.24 : x
  2. Step 2: Convert to fraction form
    4,978.12/7,467 = 2,054.24/x
  3. Step 3: Cross multiply
    4,978.12x = 7,467 × 2,054.24
  4. Step 4: Simplify right side
    4,978.12x = 15,339,010.08
  5. Step 5: Solve for x
    x = 15,339,010.08/4,978.12
  6. Step 6: Final answer
    x = 3,081.29

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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.