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Finding the Fourth Proportional to 5,491.74, 7,577.78 and 3,133.56

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Solution

The fourth proportional to 5,491.74, 7,577.78 and 3,133.56 is: 4,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.74 : 7,577.78 = 3,133.56 : x
  2. Step 2: Convert to fraction form
    5,491.74/7,577.78 = 3,133.56/x
  3. Step 3: Cross multiply
    5,491.74x = 7,577.78 × 3,133.56
  4. Step 4: Simplify right side
    5,491.74x = 23,745,412.63
  5. Step 5: Solve for x
    x = 23,745,412.63/5,491.74
  6. Step 6: Final answer
    x = 4,323.84

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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.