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Finding the Fourth Proportional to 5,774.89, 8,662.25 and 1,392.31

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Solution

The fourth proportional to 5,774.89, 8,662.25 and 1,392.31 is: 2,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.89 : 8,662.25 = 1,392.31 : x
  2. Step 2: Convert to fraction form
    5,774.89/8,662.25 = 1,392.31/x
  3. Step 3: Cross multiply
    5,774.89x = 8,662.25 × 1,392.31
  4. Step 4: Simplify right side
    5,774.89x = 12,060,519.12
  5. Step 5: Solve for x
    x = 12,060,519.12/5,774.89
  6. Step 6: Final answer
    x = 2,088.44

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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.