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Finding the Fourth Proportional to 5,316.35, 7,969.38 and 2,977.49

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Solution

The fourth proportional to 5,316.35, 7,969.38 and 2,977.49 is: 4,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.35 : 7,969.38 = 2,977.49 : x
  2. Step 2: Convert to fraction form
    5,316.35/7,969.38 = 2,977.49/x
  3. Step 3: Cross multiply
    5,316.35x = 7,969.38 × 2,977.49
  4. Step 4: Simplify right side
    5,316.35x = 23,728,749.26
  5. Step 5: Solve for x
    x = 23,728,749.26/5,316.35
  6. Step 6: Final answer
    x = 4,463.35

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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.