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Finding the Fourth Proportional to 4,127.68, 5,696.48 and 3,052

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Solution

The fourth proportional to 4,127.68, 5,696.48 and 3,052 is: 4,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.68 : 5,696.48 = 3,052 : x
  2. Step 2: Convert to fraction form
    4,127.68/5,696.48 = 3,052/x
  3. Step 3: Cross multiply
    4,127.68x = 5,696.48 × 3,052
  4. Step 4: Simplify right side
    4,127.68x = 17,385,656.96
  5. Step 5: Solve for x
    x = 17,385,656.96/4,127.68
  6. Step 6: Final answer
    x = 4,211.97

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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.