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Finding the Fourth Proportional to 3,052.14, 4,577.14 and 1,077.26

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Solution

The fourth proportional to 3,052.14, 4,577.14 and 1,077.26 is: 1,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.14 : 4,577.14 = 1,077.26 : x
  2. Step 2: Convert to fraction form
    3,052.14/4,577.14 = 1,077.26/x
  3. Step 3: Cross multiply
    3,052.14x = 4,577.14 × 1,077.26
  4. Step 4: Simplify right side
    3,052.14x = 4,930,769.84
  5. Step 5: Solve for x
    x = 4,930,769.84/3,052.14
  6. Step 6: Final answer
    x = 1,615.51

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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.