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Finding the Fourth Proportional to 5,486.42, 7,571.21 and 2,968.52

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Solution

The fourth proportional to 5,486.42, 7,571.21 and 2,968.52 is: 4,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.42 : 7,571.21 = 2,968.52 : x
  2. Step 2: Convert to fraction form
    5,486.42/7,571.21 = 2,968.52/x
  3. Step 3: Cross multiply
    5,486.42x = 7,571.21 × 2,968.52
  4. Step 4: Simplify right side
    5,486.42x = 22,475,235.61
  5. Step 5: Solve for x
    x = 22,475,235.61/5,486.42
  6. Step 6: Final answer
    x = 4,096.52

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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.