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Finding the Fourth Proportional to 4,253.48, 6,363.80 and 4,242.54

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Solution

The fourth proportional to 4,253.48, 6,363.80 and 4,242.54 is: 6,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.48 : 6,363.80 = 4,242.54 : x
  2. Step 2: Convert to fraction form
    4,253.48/6,363.80 = 4,242.54/x
  3. Step 3: Cross multiply
    4,253.48x = 6,363.80 × 4,242.54
  4. Step 4: Simplify right side
    4,253.48x = 26,998,676.05
  5. Step 5: Solve for x
    x = 26,998,676.05/4,253.48
  6. Step 6: Final answer
    x = 6,347.43

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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.