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Finding the Fourth Proportional to 4,662.23, 6,985.08 and 2,466.09

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Solution

The fourth proportional to 4,662.23, 6,985.08 and 2,466.09 is: 3,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.23 : 6,985.08 = 2,466.09 : x
  2. Step 2: Convert to fraction form
    4,662.23/6,985.08 = 2,466.09/x
  3. Step 3: Cross multiply
    4,662.23x = 6,985.08 × 2,466.09
  4. Step 4: Simplify right side
    4,662.23x = 17,225,835.94
  5. Step 5: Solve for x
    x = 17,225,835.94/4,662.23
  6. Step 6: Final answer
    x = 3,694.77

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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.