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Finding the Fourth Proportional to 4,327.96, 5,969.28 and 2,913.16

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Solution

The fourth proportional to 4,327.96, 5,969.28 and 2,913.16 is: 4,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.96 : 5,969.28 = 2,913.16 : x
  2. Step 2: Convert to fraction form
    4,327.96/5,969.28 = 2,913.16/x
  3. Step 3: Cross multiply
    4,327.96x = 5,969.28 × 2,913.16
  4. Step 4: Simplify right side
    4,327.96x = 17,389,467.72
  5. Step 5: Solve for x
    x = 17,389,467.72/4,327.96
  6. Step 6: Final answer
    x = 4,017.94

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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.