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Finding the Fourth Proportional to 4,629.36, 6,946.84 and 1,855.64

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Solution

The fourth proportional to 4,629.36, 6,946.84 and 1,855.64 is: 2,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.36 : 6,946.84 = 1,855.64 : x
  2. Step 2: Convert to fraction form
    4,629.36/6,946.84 = 1,855.64/x
  3. Step 3: Cross multiply
    4,629.36x = 6,946.84 × 1,855.64
  4. Step 4: Simplify right side
    4,629.36x = 12,890,834.18
  5. Step 5: Solve for x
    x = 12,890,834.18/4,629.36
  6. Step 6: Final answer
    x = 2,784.58

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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.