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Finding the Fourth Proportional to 4,800.40, 7,189.08 and 3,256.72

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Solution

The fourth proportional to 4,800.40, 7,189.08 and 3,256.72 is: 4,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.40 : 7,189.08 = 3,256.72 : x
  2. Step 2: Convert to fraction form
    4,800.40/7,189.08 = 3,256.72/x
  3. Step 3: Cross multiply
    4,800.40x = 7,189.08 × 3,256.72
  4. Step 4: Simplify right side
    4,800.40x = 23,412,820.62
  5. Step 5: Solve for x
    x = 23,412,820.62/4,800.40
  6. Step 6: Final answer
    x = 4,877.26

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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.