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Finding the Fourth Proportional to 4,188.76, 6,280.24 and 2,434.84

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Solution

The fourth proportional to 4,188.76, 6,280.24 and 2,434.84 is: 3,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.76 : 6,280.24 = 2,434.84 : x
  2. Step 2: Convert to fraction form
    4,188.76/6,280.24 = 2,434.84/x
  3. Step 3: Cross multiply
    4,188.76x = 6,280.24 × 2,434.84
  4. Step 4: Simplify right side
    4,188.76x = 15,291,379.56
  5. Step 5: Solve for x
    x = 15,291,379.56/4,188.76
  6. Step 6: Final answer
    x = 3,650.57

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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.