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Finding the Fourth Proportional to 5,978.75, 8,964.51 and 2,281.25

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Solution

The fourth proportional to 5,978.75, 8,964.51 and 2,281.25 is: 3,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.75 : 8,964.51 = 2,281.25 : x
  2. Step 2: Convert to fraction form
    5,978.75/8,964.51 = 2,281.25/x
  3. Step 3: Cross multiply
    5,978.75x = 8,964.51 × 2,281.25
  4. Step 4: Simplify right side
    5,978.75x = 20,450,243.61
  5. Step 5: Solve for x
    x = 20,450,243.61/5,978.75
  6. Step 6: Final answer
    x = 3,420.49

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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.