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Finding the Fourth Proportional to 5,628.29, 8,421.50 and 3,538.52

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Solution

The fourth proportional to 5,628.29, 8,421.50 and 3,538.52 is: 5,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.29 : 8,421.50 = 3,538.52 : x
  2. Step 2: Convert to fraction form
    5,628.29/8,421.50 = 3,538.52/x
  3. Step 3: Cross multiply
    5,628.29x = 8,421.50 × 3,538.52
  4. Step 4: Simplify right side
    5,628.29x = 29,799,644.50
  5. Step 5: Solve for x
    x = 29,799,644.50/5,628.29
  6. Step 6: Final answer
    x = 5,294.62

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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.