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Finding the Fourth Proportional to 4,756.32, 7,131.24 and 1,833.84

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Solution

The fourth proportional to 4,756.32, 7,131.24 and 1,833.84 is: 2,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.32 : 7,131.24 = 1,833.84 : x
  2. Step 2: Convert to fraction form
    4,756.32/7,131.24 = 1,833.84/x
  3. Step 3: Cross multiply
    4,756.32x = 7,131.24 × 1,833.84
  4. Step 4: Simplify right side
    4,756.32x = 13,077,553.16
  5. Step 5: Solve for x
    x = 13,077,553.16/4,756.32
  6. Step 6: Final answer
    x = 2,749.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.