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Finding the Fourth Proportional to 6,189.61, 8,541.13 and 3,536.50

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Solution

The fourth proportional to 6,189.61, 8,541.13 and 3,536.50 is: 4,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.61 : 8,541.13 = 3,536.50 : x
  2. Step 2: Convert to fraction form
    6,189.61/8,541.13 = 3,536.50/x
  3. Step 3: Cross multiply
    6,189.61x = 8,541.13 × 3,536.50
  4. Step 4: Simplify right side
    6,189.61x = 30,205,706.25
  5. Step 5: Solve for x
    x = 30,205,706.25/6,189.61
  6. Step 6: Final answer
    x = 4,880.07

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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.