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Finding the Fourth Proportional to 3,419.30, 4,777.30 and 3,419.30

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Solution

The fourth proportional to 3,419.30, 4,777.30 and 3,419.30 is: 4,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.30 : 4,777.30 = 3,419.30 : x
  2. Step 2: Convert to fraction form
    3,419.30/4,777.30 = 3,419.30/x
  3. Step 3: Cross multiply
    3,419.30x = 4,777.30 × 3,419.30
  4. Step 4: Simplify right side
    3,419.30x = 16,335,021.89
  5. Step 5: Solve for x
    x = 16,335,021.89/3,419.30
  6. Step 6: Final answer
    x = 4,777.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.