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Finding the Fourth Proportional to 3,460.65, 4,775.70 and 2,467.66

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Solution

The fourth proportional to 3,460.65, 4,775.70 and 2,467.66 is: 3,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.65 : 4,775.70 = 2,467.66 : x
  2. Step 2: Convert to fraction form
    3,460.65/4,775.70 = 2,467.66/x
  3. Step 3: Cross multiply
    3,460.65x = 4,775.70 × 2,467.66
  4. Step 4: Simplify right side
    3,460.65x = 11,784,791.92
  5. Step 5: Solve for x
    x = 11,784,791.92/3,460.65
  6. Step 6: Final answer
    x = 3,405.37

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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.