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Finding the Fourth Proportional to 5,784.21, 7,974.27 and 3,658.68

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Solution

The fourth proportional to 5,784.21, 7,974.27 and 3,658.68 is: 5,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.21 : 7,974.27 = 3,658.68 : x
  2. Step 2: Convert to fraction form
    5,784.21/7,974.27 = 3,658.68/x
  3. Step 3: Cross multiply
    5,784.21x = 7,974.27 × 3,658.68
  4. Step 4: Simplify right side
    5,784.21x = 29,175,302.16
  5. Step 5: Solve for x
    x = 29,175,302.16/5,784.21
  6. Step 6: Final answer
    x = 5,043.96

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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.