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Finding the Fourth Proportional to 5,000.20, 7,503.60 and 2,078.50

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Solution

The fourth proportional to 5,000.20, 7,503.60 and 2,078.50 is: 3,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.20 : 7,503.60 = 2,078.50 : x
  2. Step 2: Convert to fraction form
    5,000.20/7,503.60 = 2,078.50/x
  3. Step 3: Cross multiply
    5,000.20x = 7,503.60 × 2,078.50
  4. Step 4: Simplify right side
    5,000.20x = 15,596,232.60
  5. Step 5: Solve for x
    x = 15,596,232.60/5,000.20
  6. Step 6: Final answer
    x = 3,119.12

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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.