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Finding the Fourth Proportional to 4,005.84, 6,009.60 and 1,408.08

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Solution

The fourth proportional to 4,005.84, 6,009.60 and 1,408.08 is: 2,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.84 : 6,009.60 = 1,408.08 : x
  2. Step 2: Convert to fraction form
    4,005.84/6,009.60 = 1,408.08/x
  3. Step 3: Cross multiply
    4,005.84x = 6,009.60 × 1,408.08
  4. Step 4: Simplify right side
    4,005.84x = 8,461,997.57
  5. Step 5: Solve for x
    x = 8,461,997.57/4,005.84
  6. Step 6: Final answer
    x = 2,112.42

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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.