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Finding the Fourth Proportional to 4,696.96, 7,040.38 and 3,054.69

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Solution

The fourth proportional to 4,696.96, 7,040.38 and 3,054.69 is: 4,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.96 : 7,040.38 = 3,054.69 : x
  2. Step 2: Convert to fraction form
    4,696.96/7,040.38 = 3,054.69/x
  3. Step 3: Cross multiply
    4,696.96x = 7,040.38 × 3,054.69
  4. Step 4: Simplify right side
    4,696.96x = 21,506,127.91
  5. Step 5: Solve for x
    x = 21,506,127.91/4,696.96
  6. Step 6: Final answer
    x = 4,578.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.