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Finding the Fourth Proportional to 5,777, 7,973.70 and 3,294.44

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Solution

The fourth proportional to 5,777, 7,973.70 and 3,294.44 is: 4,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777 : 7,973.70 = 3,294.44 : x
  2. Step 2: Convert to fraction form
    5,777/7,973.70 = 3,294.44/x
  3. Step 3: Cross multiply
    5,777x = 7,973.70 × 3,294.44
  4. Step 4: Simplify right side
    5,777x = 26,268,876.23
  5. Step 5: Solve for x
    x = 26,268,876.23/5,777
  6. Step 6: Final answer
    x = 4,547.15

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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.