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Finding the Fourth Proportional to 4,736.88, 7,053.40 and 4,684.64

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Solution

The fourth proportional to 4,736.88, 7,053.40 and 4,684.64 is: 6,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.88 : 7,053.40 = 4,684.64 : x
  2. Step 2: Convert to fraction form
    4,736.88/7,053.40 = 4,684.64/x
  3. Step 3: Cross multiply
    4,736.88x = 7,053.40 × 4,684.64
  4. Step 4: Simplify right side
    4,736.88x = 33,042,639.78
  5. Step 5: Solve for x
    x = 33,042,639.78/4,736.88
  6. Step 6: Final answer
    x = 6,975.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.