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Finding the Fourth Proportional to 4,803.40, 7,204.49 and 1,516.83

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Solution

The fourth proportional to 4,803.40, 7,204.49 and 1,516.83 is: 2,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.40 : 7,204.49 = 1,516.83 : x
  2. Step 2: Convert to fraction form
    4,803.40/7,204.49 = 1,516.83/x
  3. Step 3: Cross multiply
    4,803.40x = 7,204.49 × 1,516.83
  4. Step 4: Simplify right side
    4,803.40x = 10,927,950.54
  5. Step 5: Solve for x
    x = 10,927,950.54/4,803.40
  6. Step 6: Final answer
    x = 2,275.04

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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.