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Finding the Fourth Proportional to 4,518.64, 6,784.24 and 2,328.88

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Solution

The fourth proportional to 4,518.64, 6,784.24 and 2,328.88 is: 3,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,518.64 : 6,784.24 = 2,328.88 : x
  2. Step 2: Convert to fraction form
    4,518.64/6,784.24 = 2,328.88/x
  3. Step 3: Cross multiply
    4,518.64x = 6,784.24 × 2,328.88
  4. Step 4: Simplify right side
    4,518.64x = 15,799,680.85
  5. Step 5: Solve for x
    x = 15,799,680.85/4,518.64
  6. Step 6: Final answer
    x = 3,496.56

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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.