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Finding the Fourth Proportional to 4,709.43, 6,499.50 and 2,917.30

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Solution

The fourth proportional to 4,709.43, 6,499.50 and 2,917.30 is: 4,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.43 : 6,499.50 = 2,917.30 : x
  2. Step 2: Convert to fraction form
    4,709.43/6,499.50 = 2,917.30/x
  3. Step 3: Cross multiply
    4,709.43x = 6,499.50 × 2,917.30
  4. Step 4: Simplify right side
    4,709.43x = 18,960,991.35
  5. Step 5: Solve for x
    x = 18,960,991.35/4,709.43
  6. Step 6: Final answer
    x = 4,026.18

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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.