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Finding the Fourth Proportional to 5,851.98, 8,078.67 and 4,522.68

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Solution

The fourth proportional to 5,851.98, 8,078.67 and 4,522.68 is: 6,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.98 : 8,078.67 = 4,522.68 : x
  2. Step 2: Convert to fraction form
    5,851.98/8,078.67 = 4,522.68/x
  3. Step 3: Cross multiply
    5,851.98x = 8,078.67 × 4,522.68
  4. Step 4: Simplify right side
    5,851.98x = 36,537,239.24
  5. Step 5: Solve for x
    x = 36,537,239.24/5,851.98
  6. Step 6: Final answer
    x = 6,243.57

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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.