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Finding the Fourth Proportional to 4,710.26, 6,499.84 and 2,720.70

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Solution

The fourth proportional to 4,710.26, 6,499.84 and 2,720.70 is: 3,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.26 : 6,499.84 = 2,720.70 : x
  2. Step 2: Convert to fraction form
    4,710.26/6,499.84 = 2,720.70/x
  3. Step 3: Cross multiply
    4,710.26x = 6,499.84 × 2,720.70
  4. Step 4: Simplify right side
    4,710.26x = 17,684,114.69
  5. Step 5: Solve for x
    x = 17,684,114.69/4,710.26
  6. Step 6: Final answer
    x = 3,754.38

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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.