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Finding the Fourth Proportional to 4,166.50, 5,749.77 and 2,303.50

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Solution

The fourth proportional to 4,166.50, 5,749.77 and 2,303.50 is: 3,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.50 : 5,749.77 = 2,303.50 : x
  2. Step 2: Convert to fraction form
    4,166.50/5,749.77 = 2,303.50/x
  3. Step 3: Cross multiply
    4,166.50x = 5,749.77 × 2,303.50
  4. Step 4: Simplify right side
    4,166.50x = 13,244,595.20
  5. Step 5: Solve for x
    x = 13,244,595.20/4,166.50
  6. Step 6: Final answer
    x = 3,178.83

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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.