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Finding the Fourth Proportional to 6,190.84, 8,543.10 and 3,396.16

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Solution

The fourth proportional to 6,190.84, 8,543.10 and 3,396.16 is: 4,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.84 : 8,543.10 = 3,396.16 : x
  2. Step 2: Convert to fraction form
    6,190.84/8,543.10 = 3,396.16/x
  3. Step 3: Cross multiply
    6,190.84x = 8,543.10 × 3,396.16
  4. Step 4: Simplify right side
    6,190.84x = 29,013,734.50
  5. Step 5: Solve for x
    x = 29,013,734.50/6,190.84
  6. Step 6: Final answer
    x = 4,686.56

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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.