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Finding the Fourth Proportional to 3,378.60, 4,678.02 and 3,292.20

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Solution

The fourth proportional to 3,378.60, 4,678.02 and 3,292.20 is: 4,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.60 : 4,678.02 = 3,292.20 : x
  2. Step 2: Convert to fraction form
    3,378.60/4,678.02 = 3,292.20/x
  3. Step 3: Cross multiply
    3,378.60x = 4,678.02 × 3,292.20
  4. Step 4: Simplify right side
    3,378.60x = 15,400,977.44
  5. Step 5: Solve for x
    x = 15,400,977.44/3,378.60
  6. Step 6: Final answer
    x = 4,558.39

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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.