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Finding the Fourth Proportional to 3,085.66, 4,633.10 and 2,467.54

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Solution

The fourth proportional to 3,085.66, 4,633.10 and 2,467.54 is: 3,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.66 : 4,633.10 = 2,467.54 : x
  2. Step 2: Convert to fraction form
    3,085.66/4,633.10 = 2,467.54/x
  3. Step 3: Cross multiply
    3,085.66x = 4,633.10 × 2,467.54
  4. Step 4: Simplify right side
    3,085.66x = 11,432,359.57
  5. Step 5: Solve for x
    x = 11,432,359.57/3,085.66
  6. Step 6: Final answer
    x = 3,705.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.