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Finding the Fourth Proportional to 4,005.48, 6,008.16 and 1,408.44

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Solution

The fourth proportional to 4,005.48, 6,008.16 and 1,408.44 is: 2,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.48 : 6,008.16 = 1,408.44 : x
  2. Step 2: Convert to fraction form
    4,005.48/6,008.16 = 1,408.44/x
  3. Step 3: Cross multiply
    4,005.48x = 6,008.16 × 1,408.44
  4. Step 4: Simplify right side
    4,005.48x = 8,462,132.87
  5. Step 5: Solve for x
    x = 8,462,132.87/4,005.48
  6. Step 6: Final answer
    x = 2,112.64

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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.