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Finding the Fourth Proportional to 4,166.52, 5,749.20 and 2,303.52

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Solution

The fourth proportional to 4,166.52, 5,749.20 and 2,303.52 is: 3,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.52 : 5,749.20 = 2,303.52 : x
  2. Step 2: Convert to fraction form
    4,166.52/5,749.20 = 2,303.52/x
  3. Step 3: Cross multiply
    4,166.52x = 5,749.20 × 2,303.52
  4. Step 4: Simplify right side
    4,166.52x = 13,243,397.18
  5. Step 5: Solve for x
    x = 13,243,397.18/4,166.52
  6. Step 6: Final answer
    x = 3,178.53

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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.