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Finding the Fourth Proportional to 5,853.79, 8,781.90 and 1,958.50

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Solution

The fourth proportional to 5,853.79, 8,781.90 and 1,958.50 is: 2,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.79 : 8,781.90 = 1,958.50 : x
  2. Step 2: Convert to fraction form
    5,853.79/8,781.90 = 1,958.50/x
  3. Step 3: Cross multiply
    5,853.79x = 8,781.90 × 1,958.50
  4. Step 4: Simplify right side
    5,853.79x = 17,199,351.15
  5. Step 5: Solve for x
    x = 17,199,351.15/5,853.79
  6. Step 6: Final answer
    x = 2,938.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.