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Finding the Fourth Proportional to 4,611.33, 6,369.64 and 3,730.46

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Solution

The fourth proportional to 4,611.33, 6,369.64 and 3,730.46 is: 5,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.33 : 6,369.64 = 3,730.46 : x
  2. Step 2: Convert to fraction form
    4,611.33/6,369.64 = 3,730.46/x
  3. Step 3: Cross multiply
    4,611.33x = 6,369.64 × 3,730.46
  4. Step 4: Simplify right side
    4,611.33x = 23,761,646.06
  5. Step 5: Solve for x
    x = 23,761,646.06/4,611.33
  6. Step 6: Final answer
    x = 5,152.88

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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.