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Finding the Fourth Proportional to 4,713, 6,503.96 and 2,617.16

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Solution

The fourth proportional to 4,713, 6,503.96 and 2,617.16 is: 3,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713 : 6,503.96 = 2,617.16 : x
  2. Step 2: Convert to fraction form
    4,713/6,503.96 = 2,617.16/x
  3. Step 3: Cross multiply
    4,713x = 6,503.96 × 2,617.16
  4. Step 4: Simplify right side
    4,713x = 17,021,903.95
  5. Step 5: Solve for x
    x = 17,021,903.95/4,713
  6. Step 6: Final answer
    x = 3,611.69

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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.