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Finding the Fourth Proportional to 5,943.48, 8,202.96 and 3,853.68

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Solution

The fourth proportional to 5,943.48, 8,202.96 and 3,853.68 is: 5,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.48 : 8,202.96 = 3,853.68 : x
  2. Step 2: Convert to fraction form
    5,943.48/8,202.96 = 3,853.68/x
  3. Step 3: Cross multiply
    5,943.48x = 8,202.96 × 3,853.68
  4. Step 4: Simplify right side
    5,943.48x = 31,611,582.89
  5. Step 5: Solve for x
    x = 31,611,582.89/5,943.48
  6. Step 6: Final answer
    x = 5,318.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.