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Finding the Fourth Proportional to 5,200.65, 7,800.03 and 1,503.41

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Solution

The fourth proportional to 5,200.65, 7,800.03 and 1,503.41 is: 2,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.65 : 7,800.03 = 1,503.41 : x
  2. Step 2: Convert to fraction form
    5,200.65/7,800.03 = 1,503.41/x
  3. Step 3: Cross multiply
    5,200.65x = 7,800.03 × 1,503.41
  4. Step 4: Simplify right side
    5,200.65x = 11,726,604.10
  5. Step 5: Solve for x
    x = 11,726,604.10/5,200.65
  6. Step 6: Final answer
    x = 2,254.83

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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.