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Finding the Fourth Proportional to 5,885.50, 8,828.25 and 1,781.50

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Solution

The fourth proportional to 5,885.50, 8,828.25 and 1,781.50 is: 2,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.50 : 8,828.25 = 1,781.50 : x
  2. Step 2: Convert to fraction form
    5,885.50/8,828.25 = 1,781.50/x
  3. Step 3: Cross multiply
    5,885.50x = 8,828.25 × 1,781.50
  4. Step 4: Simplify right side
    5,885.50x = 15,727,527.38
  5. Step 5: Solve for x
    x = 15,727,527.38/5,885.50
  6. Step 6: Final answer
    x = 2,672.25

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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.