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Finding the Fourth Proportional to 4,165.43, 5,748.32 and 2,276.99

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Solution

The fourth proportional to 4,165.43, 5,748.32 and 2,276.99 is: 3,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.43 : 5,748.32 = 2,276.99 : x
  2. Step 2: Convert to fraction form
    4,165.43/5,748.32 = 2,276.99/x
  3. Step 3: Cross multiply
    4,165.43x = 5,748.32 × 2,276.99
  4. Step 4: Simplify right side
    4,165.43x = 13,088,827.03
  5. Step 5: Solve for x
    x = 13,088,827.03/4,165.43
  6. Step 6: Final answer
    x = 3,142.25

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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.