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Finding the Fourth Proportional to 4,869.03, 7,292.60 and 3,414.68

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Solution

The fourth proportional to 4,869.03, 7,292.60 and 3,414.68 is: 5,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.03 : 7,292.60 = 3,414.68 : x
  2. Step 2: Convert to fraction form
    4,869.03/7,292.60 = 3,414.68/x
  3. Step 3: Cross multiply
    4,869.03x = 7,292.60 × 3,414.68
  4. Step 4: Simplify right side
    4,869.03x = 24,901,895.37
  5. Step 5: Solve for x
    x = 24,901,895.37/4,869.03
  6. Step 6: Final answer
    x = 5,114.34

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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.