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Finding the Fourth Proportional to 4,165.66, 5,748.50 and 2,277.25

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Solution

The fourth proportional to 4,165.66, 5,748.50 and 2,277.25 is: 3,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.66 : 5,748.50 = 2,277.25 : x
  2. Step 2: Convert to fraction form
    4,165.66/5,748.50 = 2,277.25/x
  3. Step 3: Cross multiply
    4,165.66x = 5,748.50 × 2,277.25
  4. Step 4: Simplify right side
    4,165.66x = 13,090,762.95
  5. Step 5: Solve for x
    x = 13,090,762.95/4,165.66
  6. Step 6: Final answer
    x = 3,142.54

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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.