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Finding the Fourth Proportional to 6,184.26, 8,534.26 and 3,389.76

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Solution

The fourth proportional to 6,184.26, 8,534.26 and 3,389.76 is: 4,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.26 : 8,534.26 = 3,389.76 : x
  2. Step 2: Convert to fraction form
    6,184.26/8,534.26 = 3,389.76/x
  3. Step 3: Cross multiply
    6,184.26x = 8,534.26 × 3,389.76
  4. Step 4: Simplify right side
    6,184.26x = 28,929,093.18
  5. Step 5: Solve for x
    x = 28,929,093.18/6,184.26
  6. Step 6: Final answer
    x = 4,677.86

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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.