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Finding the Fourth Proportional to 4,756.92, 7,132.41 and 1,833.90

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Solution

The fourth proportional to 4,756.92, 7,132.41 and 1,833.90 is: 2,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.92 : 7,132.41 = 1,833.90 : x
  2. Step 2: Convert to fraction form
    4,756.92/7,132.41 = 1,833.90/x
  3. Step 3: Cross multiply
    4,756.92x = 7,132.41 × 1,833.90
  4. Step 4: Simplify right side
    4,756.92x = 13,080,126.70
  5. Step 5: Solve for x
    x = 13,080,126.70/4,756.92
  6. Step 6: Final answer
    x = 2,749.70

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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.