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Finding the Fourth Proportional to 4,696.12, 7,078.75 and 4,301.74

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Solution

The fourth proportional to 4,696.12, 7,078.75 and 4,301.74 is: 6,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.12 : 7,078.75 = 4,301.74 : x
  2. Step 2: Convert to fraction form
    4,696.12/7,078.75 = 4,301.74/x
  3. Step 3: Cross multiply
    4,696.12x = 7,078.75 × 4,301.74
  4. Step 4: Simplify right side
    4,696.12x = 30,450,942.03
  5. Step 5: Solve for x
    x = 30,450,942.03/4,696.12
  6. Step 6: Final answer
    x = 6,484.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.