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Finding the Fourth Proportional to 4,573.46, 6,305.64 and 3,733.32

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Solution

The fourth proportional to 4,573.46, 6,305.64 and 3,733.32 is: 5,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.46 : 6,305.64 = 3,733.32 : x
  2. Step 2: Convert to fraction form
    4,573.46/6,305.64 = 3,733.32/x
  3. Step 3: Cross multiply
    4,573.46x = 6,305.64 × 3,733.32
  4. Step 4: Simplify right side
    4,573.46x = 23,540,971.92
  5. Step 5: Solve for x
    x = 23,540,971.92/4,573.46
  6. Step 6: Final answer
    x = 5,147.30

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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.