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Finding the Fourth Proportional to 4,166.56, 5,749.92 and 2,303.60

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Solution

The fourth proportional to 4,166.56, 5,749.92 and 2,303.60 is: 3,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.56 : 5,749.92 = 2,303.60 : x
  2. Step 2: Convert to fraction form
    4,166.56/5,749.92 = 2,303.60/x
  3. Step 3: Cross multiply
    4,166.56x = 5,749.92 × 2,303.60
  4. Step 4: Simplify right side
    4,166.56x = 13,245,515.71
  5. Step 5: Solve for x
    x = 13,245,515.71/4,166.56
  6. Step 6: Final answer
    x = 3,179.01

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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.