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Finding the Fourth Proportional to 4,166.44, 5,749.14 and 2,303.44

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Solution

The fourth proportional to 4,166.44, 5,749.14 and 2,303.44 is: 3,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 5,749.14 = 2,303.44 : x
  2. Step 2: Convert to fraction form
    4,166.44/5,749.14 = 2,303.44/x
  3. Step 3: Cross multiply
    4,166.44x = 5,749.14 × 2,303.44
  4. Step 4: Simplify right side
    4,166.44x = 13,242,799.04
  5. Step 5: Solve for x
    x = 13,242,799.04/4,166.44
  6. Step 6: Final answer
    x = 3,178.44

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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.