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Finding the Fourth Proportional to 4,819, 6,610.23 and 4,777.40

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Solution

The fourth proportional to 4,819, 6,610.23 and 4,777.40 is: 6,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819 : 6,610.23 = 4,777.40 : x
  2. Step 2: Convert to fraction form
    4,819/6,610.23 = 4,777.40/x
  3. Step 3: Cross multiply
    4,819x = 6,610.23 × 4,777.40
  4. Step 4: Simplify right side
    4,819x = 31,579,712.80
  5. Step 5: Solve for x
    x = 31,579,712.80/4,819
  6. Step 6: Final answer
    x = 6,553.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.