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Finding the Fourth Proportional to 4,166.07, 5,748.99 and 2,277.72

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Solution

The fourth proportional to 4,166.07, 5,748.99 and 2,277.72 is: 3,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.07 : 5,748.99 = 2,277.72 : x
  2. Step 2: Convert to fraction form
    4,166.07/5,748.99 = 2,277.72/x
  3. Step 3: Cross multiply
    4,166.07x = 5,748.99 × 2,277.72
  4. Step 4: Simplify right side
    4,166.07x = 13,094,589.50
  5. Step 5: Solve for x
    x = 13,094,589.50/4,166.07
  6. Step 6: Final answer
    x = 3,143.15

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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.