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Finding the Fourth Proportional to 5,411.09, 7,466.69 and 3,052.77

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Solution

The fourth proportional to 5,411.09, 7,466.69 and 3,052.77 is: 4,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.09 : 7,466.69 = 3,052.77 : x
  2. Step 2: Convert to fraction form
    5,411.09/7,466.69 = 3,052.77/x
  3. Step 3: Cross multiply
    5,411.09x = 7,466.69 × 3,052.77
  4. Step 4: Simplify right side
    5,411.09x = 22,794,071.97
  5. Step 5: Solve for x
    x = 22,794,071.97/5,411.09
  6. Step 6: Final answer
    x = 4,212.48

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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.