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Finding the Fourth Proportional to 6,548.45, 9,820.54 and 2,849.58

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Solution

The fourth proportional to 6,548.45, 9,820.54 and 2,849.58 is: 4,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.45 : 9,820.54 = 2,849.58 : x
  2. Step 2: Convert to fraction form
    6,548.45/9,820.54 = 2,849.58/x
  3. Step 3: Cross multiply
    6,548.45x = 9,820.54 × 2,849.58
  4. Step 4: Simplify right side
    6,548.45x = 27,984,417.94
  5. Step 5: Solve for x
    x = 27,984,417.94/6,548.45
  6. Step 6: Final answer
    x = 4,273.44

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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.