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Finding the Fourth Proportional to 4,924.75, 6,741.77 and 4,889.58

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Solution

The fourth proportional to 4,924.75, 6,741.77 and 4,889.58 is: 6,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.75 : 6,741.77 = 4,889.58 : x
  2. Step 2: Convert to fraction form
    4,924.75/6,741.77 = 4,889.58/x
  3. Step 3: Cross multiply
    4,924.75x = 6,741.77 × 4,889.58
  4. Step 4: Simplify right side
    4,924.75x = 32,964,404.14
  5. Step 5: Solve for x
    x = 32,964,404.14/4,924.75
  6. Step 6: Final answer
    x = 6,693.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.