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Finding the Fourth Proportional to 4,738.62, 7,099.05 and 1,814.94

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Solution

The fourth proportional to 4,738.62, 7,099.05 and 1,814.94 is: 2,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.62 : 7,099.05 = 1,814.94 : x
  2. Step 2: Convert to fraction form
    4,738.62/7,099.05 = 1,814.94/x
  3. Step 3: Cross multiply
    4,738.62x = 7,099.05 × 1,814.94
  4. Step 4: Simplify right side
    4,738.62x = 12,884,349.81
  5. Step 5: Solve for x
    x = 12,884,349.81/4,738.62
  6. Step 6: Final answer
    x = 2,719.01

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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.