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Finding the Fourth Proportional to 4,423.69, 6,104.80 and 2,434.30

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Solution

The fourth proportional to 4,423.69, 6,104.80 and 2,434.30 is: 3,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.69 : 6,104.80 = 2,434.30 : x
  2. Step 2: Convert to fraction form
    4,423.69/6,104.80 = 2,434.30/x
  3. Step 3: Cross multiply
    4,423.69x = 6,104.80 × 2,434.30
  4. Step 4: Simplify right side
    4,423.69x = 14,860,871.94
  5. Step 5: Solve for x
    x = 14,860,871.94/4,423.69
  6. Step 6: Final answer
    x = 3,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.