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Finding the Fourth Proportional to 4,710.75, 6,500.73 and 2,722.38

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Solution

The fourth proportional to 4,710.75, 6,500.73 and 2,722.38 is: 3,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.75 : 6,500.73 = 2,722.38 : x
  2. Step 2: Convert to fraction form
    4,710.75/6,500.73 = 2,722.38/x
  3. Step 3: Cross multiply
    4,710.75x = 6,500.73 × 2,722.38
  4. Step 4: Simplify right side
    4,710.75x = 17,697,457.34
  5. Step 5: Solve for x
    x = 17,697,457.34/4,710.75
  6. Step 6: Final answer
    x = 3,756.82

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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.