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Finding the Fourth Proportional to 4,647.65, 6,953.99 and 2,766.62

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Solution

The fourth proportional to 4,647.65, 6,953.99 and 2,766.62 is: 4,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.65 : 6,953.99 = 2,766.62 : x
  2. Step 2: Convert to fraction form
    4,647.65/6,953.99 = 2,766.62/x
  3. Step 3: Cross multiply
    4,647.65x = 6,953.99 × 2,766.62
  4. Step 4: Simplify right side
    4,647.65x = 19,239,051.37
  5. Step 5: Solve for x
    x = 19,239,051.37/4,647.65
  6. Step 6: Final answer
    x = 4,139.53

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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.