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Finding the Fourth Proportional to 5,491.37, 7,577.93 and 3,101.43

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Solution

The fourth proportional to 5,491.37, 7,577.93 and 3,101.43 is: 4,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.37 : 7,577.93 = 3,101.43 : x
  2. Step 2: Convert to fraction form
    5,491.37/7,577.93 = 3,101.43/x
  3. Step 3: Cross multiply
    5,491.37x = 7,577.93 × 3,101.43
  4. Step 4: Simplify right side
    5,491.37x = 23,502,403.93
  5. Step 5: Solve for x
    x = 23,502,403.93/5,491.37
  6. Step 6: Final answer
    x = 4,279.88

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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.