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Finding the Fourth Proportional to 4,731.28, 7,085.46 and 4,033.96

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Solution

The fourth proportional to 4,731.28, 7,085.46 and 4,033.96 is: 6,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.28 : 7,085.46 = 4,033.96 : x
  2. Step 2: Convert to fraction form
    4,731.28/7,085.46 = 4,033.96/x
  3. Step 3: Cross multiply
    4,731.28x = 7,085.46 × 4,033.96
  4. Step 4: Simplify right side
    4,731.28x = 28,582,462.22
  5. Step 5: Solve for x
    x = 28,582,462.22/4,731.28
  6. Step 6: Final answer
    x = 6,041.17

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Why These Related Problems?

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