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Finding the Fourth Proportional to 4,005.76, 6,008.64 and 1,408.10

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Solution

The fourth proportional to 4,005.76, 6,008.64 and 1,408.10 is: 2,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.76 : 6,008.64 = 1,408.10 : x
  2. Step 2: Convert to fraction form
    4,005.76/6,008.64 = 1,408.10/x
  3. Step 3: Cross multiply
    4,005.76x = 6,008.64 × 1,408.10
  4. Step 4: Simplify right side
    4,005.76x = 8,460,765.98
  5. Step 5: Solve for x
    x = 8,460,765.98/4,005.76
  6. Step 6: Final answer
    x = 2,112.15

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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.