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Finding the Fourth Proportional to 4,291.20, 6,441.60 and 4,009.20

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Solution

The fourth proportional to 4,291.20, 6,441.60 and 4,009.20 is: 6,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.20 : 6,441.60 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    4,291.20/6,441.60 = 4,009.20/x
  3. Step 3: Cross multiply
    4,291.20x = 6,441.60 × 4,009.20
  4. Step 4: Simplify right side
    4,291.20x = 25,825,662.72
  5. Step 5: Solve for x
    x = 25,825,662.72/4,291.20
  6. Step 6: Final answer
    x = 6,018.28

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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.