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Finding the Fourth Proportional to 4,819.41, 7,229.12 and 1,532.50

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Solution

The fourth proportional to 4,819.41, 7,229.12 and 1,532.50 is: 2,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.41 : 7,229.12 = 1,532.50 : x
  2. Step 2: Convert to fraction form
    4,819.41/7,229.12 = 1,532.50/x
  3. Step 3: Cross multiply
    4,819.41x = 7,229.12 × 1,532.50
  4. Step 4: Simplify right side
    4,819.41x = 11,078,636.81
  5. Step 5: Solve for x
    x = 11,078,636.81/4,819.41
  6. Step 6: Final answer
    x = 2,298.75

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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.