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Finding the Fourth Proportional to 5,892.50, 8,828.23 and 3,549.28

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Solution

The fourth proportional to 5,892.50, 8,828.23 and 3,549.28 is: 5,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.50 : 8,828.23 = 3,549.28 : x
  2. Step 2: Convert to fraction form
    5,892.50/8,828.23 = 3,549.28/x
  3. Step 3: Cross multiply
    5,892.50x = 8,828.23 × 3,549.28
  4. Step 4: Simplify right side
    5,892.50x = 31,333,885.02
  5. Step 5: Solve for x
    x = 31,333,885.02/5,892.50
  6. Step 6: Final answer
    x = 5,317.59

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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.