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Finding the Fourth Proportional to 5,774.82, 8,662.16 and 1,392.25

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Solution

The fourth proportional to 5,774.82, 8,662.16 and 1,392.25 is: 2,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.82 : 8,662.16 = 1,392.25 : x
  2. Step 2: Convert to fraction form
    5,774.82/8,662.16 = 1,392.25/x
  3. Step 3: Cross multiply
    5,774.82x = 8,662.16 × 1,392.25
  4. Step 4: Simplify right side
    5,774.82x = 12,059,847.21
  5. Step 5: Solve for x
    x = 12,059,847.21/5,774.82
  6. Step 6: Final answer
    x = 2,088.35

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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.