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Finding the Fourth Proportional to 5,328.94, 7,354.02 and 2,971

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Solution

The fourth proportional to 5,328.94, 7,354.02 and 2,971 is: 4,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.94 : 7,354.02 = 2,971 : x
  2. Step 2: Convert to fraction form
    5,328.94/7,354.02 = 2,971/x
  3. Step 3: Cross multiply
    5,328.94x = 7,354.02 × 2,971
  4. Step 4: Simplify right side
    5,328.94x = 21,848,793.42
  5. Step 5: Solve for x
    x = 21,848,793.42/5,328.94
  6. Step 6: Final answer
    x = 4,100.03

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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.