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Finding the Fourth Proportional to 3,894.51, 5,841.56 and 1,121.07

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Solution

The fourth proportional to 3,894.51, 5,841.56 and 1,121.07 is: 1,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.51 : 5,841.56 = 1,121.07 : x
  2. Step 2: Convert to fraction form
    3,894.51/5,841.56 = 1,121.07/x
  3. Step 3: Cross multiply
    3,894.51x = 5,841.56 × 1,121.07
  4. Step 4: Simplify right side
    3,894.51x = 6,548,792.06
  5. Step 5: Solve for x
    x = 6,548,792.06/3,894.51
  6. Step 6: Final answer
    x = 1,681.54

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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.