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Finding the Fourth Proportional to 6,540.84, 9,026.46 and 3,556.80

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Solution

The fourth proportional to 6,540.84, 9,026.46 and 3,556.80 is: 4,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.84 : 9,026.46 = 3,556.80 : x
  2. Step 2: Convert to fraction form
    6,540.84/9,026.46 = 3,556.80/x
  3. Step 3: Cross multiply
    6,540.84x = 9,026.46 × 3,556.80
  4. Step 4: Simplify right side
    6,540.84x = 32,105,312.93
  5. Step 5: Solve for x
    x = 32,105,312.93/6,540.84
  6. Step 6: Final answer
    x = 4,908.44

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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.