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Finding the Fourth Proportional to 4,601, 6,898.62 and 3,039.08

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Solution

The fourth proportional to 4,601, 6,898.62 and 3,039.08 is: 4,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601 : 6,898.62 = 3,039.08 : x
  2. Step 2: Convert to fraction form
    4,601/6,898.62 = 3,039.08/x
  3. Step 3: Cross multiply
    4,601x = 6,898.62 × 3,039.08
  4. Step 4: Simplify right side
    4,601x = 20,965,458.07
  5. Step 5: Solve for x
    x = 20,965,458.07/4,601
  6. Step 6: Final answer
    x = 4,556.72

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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.