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Finding the Fourth Proportional to 3,456.08, 5,184.04 and 2,352.60

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Solution

The fourth proportional to 3,456.08, 5,184.04 and 2,352.60 is: 3,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.08 : 5,184.04 = 2,352.60 : x
  2. Step 2: Convert to fraction form
    3,456.08/5,184.04 = 2,352.60/x
  3. Step 3: Cross multiply
    3,456.08x = 5,184.04 × 2,352.60
  4. Step 4: Simplify right side
    3,456.08x = 12,195,972.50
  5. Step 5: Solve for x
    x = 12,195,972.50/3,456.08
  6. Step 6: Final answer
    x = 3,528.85

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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.