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Finding the Fourth Proportional to 4,978.36, 7,466.46 and 1,773.09

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Solution

The fourth proportional to 4,978.36, 7,466.46 and 1,773.09 is: 2,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.36 : 7,466.46 = 1,773.09 : x
  2. Step 2: Convert to fraction form
    4,978.36/7,466.46 = 1,773.09/x
  3. Step 3: Cross multiply
    4,978.36x = 7,466.46 × 1,773.09
  4. Step 4: Simplify right side
    4,978.36x = 13,238,705.56
  5. Step 5: Solve for x
    x = 13,238,705.56/4,978.36
  6. Step 6: Final answer
    x = 2,659.25

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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.