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Finding the Fourth Proportional to 4,803.66, 7,201.17 and 1,724.94

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Solution

The fourth proportional to 4,803.66, 7,201.17 and 1,724.94 is: 2,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.66 : 7,201.17 = 1,724.94 : x
  2. Step 2: Convert to fraction form
    4,803.66/7,201.17 = 1,724.94/x
  3. Step 3: Cross multiply
    4,803.66x = 7,201.17 × 1,724.94
  4. Step 4: Simplify right side
    4,803.66x = 12,421,586.18
  5. Step 5: Solve for x
    x = 12,421,586.18/4,803.66
  6. Step 6: Final answer
    x = 2,585.86

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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.