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Finding the Fourth Proportional to 4,823.13, 6,694.94 and 4,706.49

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Solution

The fourth proportional to 4,823.13, 6,694.94 and 4,706.49 is: 6,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.13 : 6,694.94 = 4,706.49 : x
  2. Step 2: Convert to fraction form
    4,823.13/6,694.94 = 4,706.49/x
  3. Step 3: Cross multiply
    4,823.13x = 6,694.94 × 4,706.49
  4. Step 4: Simplify right side
    4,823.13x = 31,509,668.16
  5. Step 5: Solve for x
    x = 31,509,668.16/4,823.13
  6. Step 6: Final answer
    x = 6,533.03

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.