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Finding the Fourth Proportional to 4,837.64, 7,256.83 and 2,064.33

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Solution

The fourth proportional to 4,837.64, 7,256.83 and 2,064.33 is: 3,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.64 : 7,256.83 = 2,064.33 : x
  2. Step 2: Convert to fraction form
    4,837.64/7,256.83 = 2,064.33/x
  3. Step 3: Cross multiply
    4,837.64x = 7,256.83 × 2,064.33
  4. Step 4: Simplify right side
    4,837.64x = 14,980,491.87
  5. Step 5: Solve for x
    x = 14,980,491.87/4,837.64
  6. Step 6: Final answer
    x = 3,096.65

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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.