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Finding the Fourth Proportional to 6,189.50, 8,541.52 and 3,395

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Solution

The fourth proportional to 6,189.50, 8,541.52 and 3,395 is: 4,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.50 : 8,541.52 = 3,395 : x
  2. Step 2: Convert to fraction form
    6,189.50/8,541.52 = 3,395/x
  3. Step 3: Cross multiply
    6,189.50x = 8,541.52 × 3,395
  4. Step 4: Simplify right side
    6,189.50x = 28,998,460.40
  5. Step 5: Solve for x
    x = 28,998,460.40/6,189.50
  6. Step 6: Final answer
    x = 4,685.11

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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.