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Finding the Fourth Proportional to 3,506.65, 4,840.92 and 2,180.78

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Solution

The fourth proportional to 3,506.65, 4,840.92 and 2,180.78 is: 3,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.65 : 4,840.92 = 2,180.78 : x
  2. Step 2: Convert to fraction form
    3,506.65/4,840.92 = 2,180.78/x
  3. Step 3: Cross multiply
    3,506.65x = 4,840.92 × 2,180.78
  4. Step 4: Simplify right side
    3,506.65x = 10,556,971.54
  5. Step 5: Solve for x
    x = 10,556,971.54/3,506.65
  6. Step 6: Final answer
    x = 3,010.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.