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Finding the Fourth Proportional to 5,632.89, 7,773.25 and 3,114.94

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Solution

The fourth proportional to 5,632.89, 7,773.25 and 3,114.94 is: 4,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.89 : 7,773.25 = 3,114.94 : x
  2. Step 2: Convert to fraction form
    5,632.89/7,773.25 = 3,114.94/x
  3. Step 3: Cross multiply
    5,632.89x = 7,773.25 × 3,114.94
  4. Step 4: Simplify right side
    5,632.89x = 24,213,207.36
  5. Step 5: Solve for x
    x = 24,213,207.36/5,632.89
  6. Step 6: Final answer
    x = 4,298.54

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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.