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Finding the Fourth Proportional to 3,095.64, 4,644.09 and 2,785.82

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Solution

The fourth proportional to 3,095.64, 4,644.09 and 2,785.82 is: 4,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.64 : 4,644.09 = 2,785.82 : x
  2. Step 2: Convert to fraction form
    3,095.64/4,644.09 = 2,785.82/x
  3. Step 3: Cross multiply
    3,095.64x = 4,644.09 × 2,785.82
  4. Step 4: Simplify right side
    3,095.64x = 12,937,575.58
  5. Step 5: Solve for x
    x = 12,937,575.58/3,095.64
  6. Step 6: Final answer
    x = 4,179.29

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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.