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Finding the Fourth Proportional to 4,803.08, 7,204.10 and 1,516.20

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Solution

The fourth proportional to 4,803.08, 7,204.10 and 1,516.20 is: 2,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.08 : 7,204.10 = 1,516.20 : x
  2. Step 2: Convert to fraction form
    4,803.08/7,204.10 = 1,516.20/x
  3. Step 3: Cross multiply
    4,803.08x = 7,204.10 × 1,516.20
  4. Step 4: Simplify right side
    4,803.08x = 10,922,856.42
  5. Step 5: Solve for x
    x = 10,922,856.42/4,803.08
  6. Step 6: Final answer
    x = 2,274.14

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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.