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Finding the Fourth Proportional to 5,383.83, 7,430.39 and 3,026.43

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Solution

The fourth proportional to 5,383.83, 7,430.39 and 3,026.43 is: 4,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.83 : 7,430.39 = 3,026.43 : x
  2. Step 2: Convert to fraction form
    5,383.83/7,430.39 = 3,026.43/x
  3. Step 3: Cross multiply
    5,383.83x = 7,430.39 × 3,026.43
  4. Step 4: Simplify right side
    5,383.83x = 22,487,551.42
  5. Step 5: Solve for x
    x = 22,487,551.42/5,383.83
  6. Step 6: Final answer
    x = 4,176.87

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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.