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Finding the Fourth Proportional to 4,709.40, 7,069.38 and 2,979

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Solution

The fourth proportional to 4,709.40, 7,069.38 and 2,979 is: 4,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.40 : 7,069.38 = 2,979 : x
  2. Step 2: Convert to fraction form
    4,709.40/7,069.38 = 2,979/x
  3. Step 3: Cross multiply
    4,709.40x = 7,069.38 × 2,979
  4. Step 4: Simplify right side
    4,709.40x = 21,059,683.02
  5. Step 5: Solve for x
    x = 21,059,683.02/4,709.40
  6. Step 6: Final answer
    x = 4,471.84

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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.