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Finding the Fourth Proportional to 4,767.42, 7,148.16 and 1,845.06

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Solution

The fourth proportional to 4,767.42, 7,148.16 and 1,845.06 is: 2,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.42 : 7,148.16 = 1,845.06 : x
  2. Step 2: Convert to fraction form
    4,767.42/7,148.16 = 1,845.06/x
  3. Step 3: Cross multiply
    4,767.42x = 7,148.16 × 1,845.06
  4. Step 4: Simplify right side
    4,767.42x = 13,188,784.09
  5. Step 5: Solve for x
    x = 13,188,784.09/4,767.42
  6. Step 6: Final answer
    x = 2,766.44

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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.