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Finding the Fourth Proportional to 4,770.99, 7,150.10 and 3,010.46

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Solution

The fourth proportional to 4,770.99, 7,150.10 and 3,010.46 is: 4,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.99 : 7,150.10 = 3,010.46 : x
  2. Step 2: Convert to fraction form
    4,770.99/7,150.10 = 3,010.46/x
  3. Step 3: Cross multiply
    4,770.99x = 7,150.10 × 3,010.46
  4. Step 4: Simplify right side
    4,770.99x = 21,525,039.24
  5. Step 5: Solve for x
    x = 21,525,039.24/4,770.99
  6. Step 6: Final answer
    x = 4,511.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.