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Finding the Fourth Proportional to 4,563.36, 6,294.96 and 2,881.64

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Solution

The fourth proportional to 4,563.36, 6,294.96 and 2,881.64 is: 3,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.36 : 6,294.96 = 2,881.64 : x
  2. Step 2: Convert to fraction form
    4,563.36/6,294.96 = 2,881.64/x
  3. Step 3: Cross multiply
    4,563.36x = 6,294.96 × 2,881.64
  4. Step 4: Simplify right side
    4,563.36x = 18,139,808.53
  5. Step 5: Solve for x
    x = 18,139,808.53/4,563.36
  6. Step 6: Final answer
    x = 3,975.10

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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.