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Finding the Fourth Proportional to 4,487.36, 6,731.28 and 1,200.47

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Solution

The fourth proportional to 4,487.36, 6,731.28 and 1,200.47 is: 1,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.36 : 6,731.28 = 1,200.47 : x
  2. Step 2: Convert to fraction form
    4,487.36/6,731.28 = 1,200.47/x
  3. Step 3: Cross multiply
    4,487.36x = 6,731.28 × 1,200.47
  4. Step 4: Simplify right side
    4,487.36x = 8,080,666.05
  5. Step 5: Solve for x
    x = 8,080,666.05/4,487.36
  6. Step 6: Final answer
    x = 1,800.76

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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.