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Finding the Fourth Proportional to 4,738.01, 7,099.16 and 2,883.51

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Solution

The fourth proportional to 4,738.01, 7,099.16 and 2,883.51 is: 4,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.01 : 7,099.16 = 2,883.51 : x
  2. Step 2: Convert to fraction form
    4,738.01/7,099.16 = 2,883.51/x
  3. Step 3: Cross multiply
    4,738.01x = 7,099.16 × 2,883.51
  4. Step 4: Simplify right side
    4,738.01x = 20,470,484.43
  5. Step 5: Solve for x
    x = 20,470,484.43/4,738.01
  6. Step 6: Final answer
    x = 4,320.49

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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.