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Finding the Fourth Proportional to 6,083.40, 8,395.10 and 3,430.84

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Solution

The fourth proportional to 6,083.40, 8,395.10 and 3,430.84 is: 4,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.40 : 8,395.10 = 3,430.84 : x
  2. Step 2: Convert to fraction form
    6,083.40/8,395.10 = 3,430.84/x
  3. Step 3: Cross multiply
    6,083.40x = 8,395.10 × 3,430.84
  4. Step 4: Simplify right side
    6,083.40x = 28,802,244.88
  5. Step 5: Solve for x
    x = 28,802,244.88/6,083.40
  6. Step 6: Final answer
    x = 4,734.56

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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.