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Finding the Fourth Proportional to 4,005.77, 6,009.48 and 1,408.91

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Solution

The fourth proportional to 4,005.77, 6,009.48 and 1,408.91 is: 2,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.77 : 6,009.48 = 1,408.91 : x
  2. Step 2: Convert to fraction form
    4,005.77/6,009.48 = 1,408.91/x
  3. Step 3: Cross multiply
    4,005.77x = 6,009.48 × 1,408.91
  4. Step 4: Simplify right side
    4,005.77x = 8,466,786.42
  5. Step 5: Solve for x
    x = 8,466,786.42/4,005.77
  6. Step 6: Final answer
    x = 2,113.65

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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.