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Finding the Fourth Proportional to 4,505.06, 6,217.37 and 2,516

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Solution

The fourth proportional to 4,505.06, 6,217.37 and 2,516 is: 3,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.06 : 6,217.37 = 2,516 : x
  2. Step 2: Convert to fraction form
    4,505.06/6,217.37 = 2,516/x
  3. Step 3: Cross multiply
    4,505.06x = 6,217.37 × 2,516
  4. Step 4: Simplify right side
    4,505.06x = 15,642,890.34
  5. Step 5: Solve for x
    x = 15,642,890.34/4,505.06
  6. Step 6: Final answer
    x = 3,472.30

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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.