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Finding the Fourth Proportional to 4,803.81, 7,206.52 and 1,516.83

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Solution

The fourth proportional to 4,803.81, 7,206.52 and 1,516.83 is: 2,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.81 : 7,206.52 = 1,516.83 : x
  2. Step 2: Convert to fraction form
    4,803.81/7,206.52 = 1,516.83/x
  3. Step 3: Cross multiply
    4,803.81x = 7,206.52 × 1,516.83
  4. Step 4: Simplify right side
    4,803.81x = 10,931,065.73
  5. Step 5: Solve for x
    x = 10,931,065.73/4,803.81
  6. Step 6: Final answer
    x = 2,275.50

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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.