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Finding the Fourth Proportional to 5,402.06, 8,103.54 and 1,506.44

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Solution

The fourth proportional to 5,402.06, 8,103.54 and 1,506.44 is: 2,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.06 : 8,103.54 = 1,506.44 : x
  2. Step 2: Convert to fraction form
    5,402.06/8,103.54 = 1,506.44/x
  3. Step 3: Cross multiply
    5,402.06x = 8,103.54 × 1,506.44
  4. Step 4: Simplify right side
    5,402.06x = 12,207,496.80
  5. Step 5: Solve for x
    x = 12,207,496.80/5,402.06
  6. Step 6: Final answer
    x = 2,259.79

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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.