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Finding the Fourth Proportional to 5,335.96, 8,008.02 and 2,416.30

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Solution

The fourth proportional to 5,335.96, 8,008.02 and 2,416.30 is: 3,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.96 : 8,008.02 = 2,416.30 : x
  2. Step 2: Convert to fraction form
    5,335.96/8,008.02 = 2,416.30/x
  3. Step 3: Cross multiply
    5,335.96x = 8,008.02 × 2,416.30
  4. Step 4: Simplify right side
    5,335.96x = 19,349,778.73
  5. Step 5: Solve for x
    x = 19,349,778.73/5,335.96
  6. Step 6: Final answer
    x = 3,626.30

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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.