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Finding the Fourth Proportional to 3,776.31, 5,664.15 and 1,179

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Solution

The fourth proportional to 3,776.31, 5,664.15 and 1,179 is: 1,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.31 : 5,664.15 = 1,179 : x
  2. Step 2: Convert to fraction form
    3,776.31/5,664.15 = 1,179/x
  3. Step 3: Cross multiply
    3,776.31x = 5,664.15 × 1,179
  4. Step 4: Simplify right side
    3,776.31x = 6,678,032.85
  5. Step 5: Solve for x
    x = 6,678,032.85/3,776.31
  6. Step 6: Final answer
    x = 1,768.40

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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.