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Finding the Fourth Proportional to 5,758.60, 7,942.62 and 4,266.58

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Solution

The fourth proportional to 5,758.60, 7,942.62 and 4,266.58 is: 5,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.60 : 7,942.62 = 4,266.58 : x
  2. Step 2: Convert to fraction form
    5,758.60/7,942.62 = 4,266.58/x
  3. Step 3: Cross multiply
    5,758.60x = 7,942.62 × 4,266.58
  4. Step 4: Simplify right side
    5,758.60x = 33,887,823.64
  5. Step 5: Solve for x
    x = 33,887,823.64/5,758.60
  6. Step 6: Final answer
    x = 5,884.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.