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Finding the Fourth Proportional to 6,021.34, 8,307 and 3,751.60

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Solution

The fourth proportional to 6,021.34, 8,307 and 3,751.60 is: 5,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.34 : 8,307 = 3,751.60 : x
  2. Step 2: Convert to fraction form
    6,021.34/8,307 = 3,751.60/x
  3. Step 3: Cross multiply
    6,021.34x = 8,307 × 3,751.60
  4. Step 4: Simplify right side
    6,021.34x = 31,164,541.20
  5. Step 5: Solve for x
    x = 31,164,541.20/6,021.34
  6. Step 6: Final answer
    x = 5,175.68

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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.