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Finding the Fourth Proportional to 4,165.92, 5,748.98 and 2,277.52

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Solution

The fourth proportional to 4,165.92, 5,748.98 and 2,277.52 is: 3,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.92 : 5,748.98 = 2,277.52 : x
  2. Step 2: Convert to fraction form
    4,165.92/5,748.98 = 2,277.52/x
  3. Step 3: Cross multiply
    4,165.92x = 5,748.98 × 2,277.52
  4. Step 4: Simplify right side
    4,165.92x = 13,093,416.93
  5. Step 5: Solve for x
    x = 13,093,416.93/4,165.92
  6. Step 6: Final answer
    x = 3,142.98

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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.