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Finding the Fourth Proportional to 4,402.40, 6,076.32 and 3,005

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Solution

The fourth proportional to 4,402.40, 6,076.32 and 3,005 is: 4,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.40 : 6,076.32 = 3,005 : x
  2. Step 2: Convert to fraction form
    4,402.40/6,076.32 = 3,005/x
  3. Step 3: Cross multiply
    4,402.40x = 6,076.32 × 3,005
  4. Step 4: Simplify right side
    4,402.40x = 18,259,341.60
  5. Step 5: Solve for x
    x = 18,259,341.60/4,402.40
  6. Step 6: Final answer
    x = 4,147.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.