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Finding the Fourth Proportional to 4,609.60, 6,909.28 and 2,763.20

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Solution

The fourth proportional to 4,609.60, 6,909.28 and 2,763.20 is: 4,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.60 : 6,909.28 = 2,763.20 : x
  2. Step 2: Convert to fraction form
    4,609.60/6,909.28 = 2,763.20/x
  3. Step 3: Cross multiply
    4,609.60x = 6,909.28 × 2,763.20
  4. Step 4: Simplify right side
    4,609.60x = 19,091,722.50
  5. Step 5: Solve for x
    x = 19,091,722.50/4,609.60
  6. Step 6: Final answer
    x = 4,141.73

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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.