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Finding the Fourth Proportional to 4,165.68, 5,748.66 and 2,277.24

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Solution

The fourth proportional to 4,165.68, 5,748.66 and 2,277.24 is: 3,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.68 : 5,748.66 = 2,277.24 : x
  2. Step 2: Convert to fraction form
    4,165.68/5,748.66 = 2,277.24/x
  3. Step 3: Cross multiply
    4,165.68x = 5,748.66 × 2,277.24
  4. Step 4: Simplify right side
    4,165.68x = 13,091,078.50
  5. Step 5: Solve for x
    x = 13,091,078.50/4,165.68
  6. Step 6: Final answer
    x = 3,142.60

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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.