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Finding the Fourth Proportional to 4,709.21, 6,498.69 and 2,613.34

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Solution

The fourth proportional to 4,709.21, 6,498.69 and 2,613.34 is: 3,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.21 : 6,498.69 = 2,613.34 : x
  2. Step 2: Convert to fraction form
    4,709.21/6,498.69 = 2,613.34/x
  3. Step 3: Cross multiply
    4,709.21x = 6,498.69 × 2,613.34
  4. Step 4: Simplify right side
    4,709.21x = 16,983,254.03
  5. Step 5: Solve for x
    x = 16,983,254.03/4,709.21
  6. Step 6: Final answer
    x = 3,606.39

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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.