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Finding the Fourth Proportional to 4,837.71, 7,254.81 and 2,064.68

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Solution

The fourth proportional to 4,837.71, 7,254.81 and 2,064.68 is: 3,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.71 : 7,254.81 = 2,064.68 : x
  2. Step 2: Convert to fraction form
    4,837.71/7,254.81 = 2,064.68/x
  3. Step 3: Cross multiply
    4,837.71x = 7,254.81 × 2,064.68
  4. Step 4: Simplify right side
    4,837.71x = 14,978,824.84
  5. Step 5: Solve for x
    x = 14,978,824.84/4,837.71
  6. Step 6: Final answer
    x = 3,096.26

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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.