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Finding the Fourth Proportional to 6,406, 8,840.30 and 3,611.52

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Solution

The fourth proportional to 6,406, 8,840.30 and 3,611.52 is: 4,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406 : 8,840.30 = 3,611.52 : x
  2. Step 2: Convert to fraction form
    6,406/8,840.30 = 3,611.52/x
  3. Step 3: Cross multiply
    6,406x = 8,840.30 × 3,611.52
  4. Step 4: Simplify right side
    6,406x = 31,926,920.26
  5. Step 5: Solve for x
    x = 31,926,920.26/6,406
  6. Step 6: Final answer
    x = 4,983.91

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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.