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Finding the Fourth Proportional to 4,005.72, 6,006.62 and 1,408.28

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Solution

The fourth proportional to 4,005.72, 6,006.62 and 1,408.28 is: 2,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.72 : 6,006.62 = 1,408.28 : x
  2. Step 2: Convert to fraction form
    4,005.72/6,006.62 = 1,408.28/x
  3. Step 3: Cross multiply
    4,005.72x = 6,006.62 × 1,408.28
  4. Step 4: Simplify right side
    4,005.72x = 8,459,002.81
  5. Step 5: Solve for x
    x = 8,459,002.81/4,005.72
  6. Step 6: Final answer
    x = 2,111.73

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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.