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Finding the Fourth Proportional to 5,506.05, 8,259 and 2,582.29

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Solution

The fourth proportional to 5,506.05, 8,259 and 2,582.29 is: 3,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.05 : 8,259 = 2,582.29 : x
  2. Step 2: Convert to fraction form
    5,506.05/8,259 = 2,582.29/x
  3. Step 3: Cross multiply
    5,506.05x = 8,259 × 2,582.29
  4. Step 4: Simplify right side
    5,506.05x = 21,327,133.11
  5. Step 5: Solve for x
    x = 21,327,133.11/5,506.05
  6. Step 6: Final answer
    x = 3,873.40

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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.