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Finding the Fourth Proportional to 6,184.16, 8,537.80 and 3,949.52

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Solution

The fourth proportional to 6,184.16, 8,537.80 and 3,949.52 is: 5,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.16 : 8,537.80 = 3,949.52 : x
  2. Step 2: Convert to fraction form
    6,184.16/8,537.80 = 3,949.52/x
  3. Step 3: Cross multiply
    6,184.16x = 8,537.80 × 3,949.52
  4. Step 4: Simplify right side
    6,184.16x = 33,720,211.86
  5. Step 5: Solve for x
    x = 33,720,211.86/6,184.16
  6. Step 6: Final answer
    x = 5,452.67

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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.