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Finding the Fourth Proportional to 4,803.49, 7,205.64 and 1,516.78

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Solution

The fourth proportional to 4,803.49, 7,205.64 and 1,516.78 is: 2,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.49 : 7,205.64 = 1,516.78 : x
  2. Step 2: Convert to fraction form
    4,803.49/7,205.64 = 1,516.78/x
  3. Step 3: Cross multiply
    4,803.49x = 7,205.64 × 1,516.78
  4. Step 4: Simplify right side
    4,803.49x = 10,929,370.64
  5. Step 5: Solve for x
    x = 10,929,370.64/4,803.49
  6. Step 6: Final answer
    x = 2,275.30

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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.