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Finding the Fourth Proportional to 3,892.01, 5,838.12 and 970.34

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Solution

The fourth proportional to 3,892.01, 5,838.12 and 970.34 is: 1,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.01 : 5,838.12 = 970.34 : x
  2. Step 2: Convert to fraction form
    3,892.01/5,838.12 = 970.34/x
  3. Step 3: Cross multiply
    3,892.01x = 5,838.12 × 970.34
  4. Step 4: Simplify right side
    3,892.01x = 5,664,961.36
  5. Step 5: Solve for x
    x = 5,664,961.36/3,892.01
  6. Step 6: Final answer
    x = 1,455.54

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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.