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Finding the Fourth Proportional to 4,008.96, 6,014.36 and 1,411.92

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Solution

The fourth proportional to 4,008.96, 6,014.36 and 1,411.92 is: 2,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.96 : 6,014.36 = 1,411.92 : x
  2. Step 2: Convert to fraction form
    4,008.96/6,014.36 = 1,411.92/x
  3. Step 3: Cross multiply
    4,008.96x = 6,014.36 × 1,411.92
  4. Step 4: Simplify right side
    4,008.96x = 8,491,795.17
  5. Step 5: Solve for x
    x = 8,491,795.17/4,008.96
  6. Step 6: Final answer
    x = 2,118.20

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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.