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Finding the Fourth Proportional to 6,135.99, 8,461.46 and 4,120.00

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Solution

The fourth proportional to 6,135.99, 8,461.46 and 4,120.00 is: 5,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.99 : 8,461.46 = 4,120.00 : x
  2. Step 2: Convert to fraction form
    6,135.99/8,461.46 = 4,120.00/x
  3. Step 3: Cross multiply
    6,135.99x = 8,461.46 × 4,120.00
  4. Step 4: Simplify right side
    6,135.99x = 34,861,204.35
  5. Step 5: Solve for x
    x = 34,861,204.35/6,135.99
  6. Step 6: Final answer
    x = 5,681.43

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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.