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Finding the Fourth Proportional to 4,778.56, 7,164.56 and 2,434.02

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Solution

The fourth proportional to 4,778.56, 7,164.56 and 2,434.02 is: 3,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.56 : 7,164.56 = 2,434.02 : x
  2. Step 2: Convert to fraction form
    4,778.56/7,164.56 = 2,434.02/x
  3. Step 3: Cross multiply
    4,778.56x = 7,164.56 × 2,434.02
  4. Step 4: Simplify right side
    4,778.56x = 17,438,682.33
  5. Step 5: Solve for x
    x = 17,438,682.33/4,778.56
  6. Step 6: Final answer
    x = 3,649.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.