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Finding the Fourth Proportional to 4,469.63, 6,705.22 and 1,838.58

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Solution

The fourth proportional to 4,469.63, 6,705.22 and 1,838.58 is: 2,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.63 : 6,705.22 = 1,838.58 : x
  2. Step 2: Convert to fraction form
    4,469.63/6,705.22 = 1,838.58/x
  3. Step 3: Cross multiply
    4,469.63x = 6,705.22 × 1,838.58
  4. Step 4: Simplify right side
    4,469.63x = 12,328,094.81
  5. Step 5: Solve for x
    x = 12,328,094.81/4,469.63
  6. Step 6: Final answer
    x = 2,758.19

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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.