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Finding the Fourth Proportional to 4,509.48, 6,764.22 and 2,199

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Solution

The fourth proportional to 4,509.48, 6,764.22 and 2,199 is: 3,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.48 : 6,764.22 = 2,199 : x
  2. Step 2: Convert to fraction form
    4,509.48/6,764.22 = 2,199/x
  3. Step 3: Cross multiply
    4,509.48x = 6,764.22 × 2,199
  4. Step 4: Simplify right side
    4,509.48x = 14,874,519.78
  5. Step 5: Solve for x
    x = 14,874,519.78/4,509.48
  6. Step 6: Final answer
    x = 3,298.50

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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.