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Finding the Fourth Proportional to 5,021.76, 7,532.62 and 1,559

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Solution

The fourth proportional to 5,021.76, 7,532.62 and 1,559 is: 2,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.76 : 7,532.62 = 1,559 : x
  2. Step 2: Convert to fraction form
    5,021.76/7,532.62 = 1,559/x
  3. Step 3: Cross multiply
    5,021.76x = 7,532.62 × 1,559
  4. Step 4: Simplify right side
    5,021.76x = 11,743,354.58
  5. Step 5: Solve for x
    x = 11,743,354.58/5,021.76
  6. Step 6: Final answer
    x = 2,338.49

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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.