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Finding the Fourth Proportional to 4,165.37, 5,748.04 and 2,277.02

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Solution

The fourth proportional to 4,165.37, 5,748.04 and 2,277.02 is: 3,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.37 : 5,748.04 = 2,277.02 : x
  2. Step 2: Convert to fraction form
    4,165.37/5,748.04 = 2,277.02/x
  3. Step 3: Cross multiply
    4,165.37x = 5,748.04 × 2,277.02
  4. Step 4: Simplify right side
    4,165.37x = 13,088,386.92
  5. Step 5: Solve for x
    x = 13,088,386.92/4,165.37
  6. Step 6: Final answer
    x = 3,142.19

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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.