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Finding the Fourth Proportional to 5,498.96, 7,581.42 and 3,506.05

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Solution

The fourth proportional to 5,498.96, 7,581.42 and 3,506.05 is: 4,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.96 : 7,581.42 = 3,506.05 : x
  2. Step 2: Convert to fraction form
    5,498.96/7,581.42 = 3,506.05/x
  3. Step 3: Cross multiply
    5,498.96x = 7,581.42 × 3,506.05
  4. Step 4: Simplify right side
    5,498.96x = 26,580,847.07
  5. Step 5: Solve for x
    x = 26,580,847.07/5,498.96
  6. Step 6: Final answer
    x = 4,833.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.