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Finding the Fourth Proportional to 6,406.06, 8,840.61 and 3,611.50

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Solution

The fourth proportional to 6,406.06, 8,840.61 and 3,611.50 is: 4,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.06 : 8,840.61 = 3,611.50 : x
  2. Step 2: Convert to fraction form
    6,406.06/8,840.61 = 3,611.50/x
  3. Step 3: Cross multiply
    6,406.06x = 8,840.61 × 3,611.50
  4. Step 4: Simplify right side
    6,406.06x = 31,927,863.02
  5. Step 5: Solve for x
    x = 31,927,863.02/6,406.06
  6. Step 6: Final answer
    x = 4,984.01

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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.