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Finding the Fourth Proportional to 4,833.72, 7,247.34 and 1,911.24

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Solution

The fourth proportional to 4,833.72, 7,247.34 and 1,911.24 is: 2,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.72 : 7,247.34 = 1,911.24 : x
  2. Step 2: Convert to fraction form
    4,833.72/7,247.34 = 1,911.24/x
  3. Step 3: Cross multiply
    4,833.72x = 7,247.34 × 1,911.24
  4. Step 4: Simplify right side
    4,833.72x = 13,851,406.10
  5. Step 5: Solve for x
    x = 13,851,406.10/4,833.72
  6. Step 6: Final answer
    x = 2,865.58

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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.