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Finding the Fourth Proportional to 4,709.99, 7,064.99 and 3,419.66

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Solution

The fourth proportional to 4,709.99, 7,064.99 and 3,419.66 is: 5,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.99 : 7,064.99 = 3,419.66 : x
  2. Step 2: Convert to fraction form
    4,709.99/7,064.99 = 3,419.66/x
  3. Step 3: Cross multiply
    4,709.99x = 7,064.99 × 3,419.66
  4. Step 4: Simplify right side
    4,709.99x = 24,159,811.28
  5. Step 5: Solve for x
    x = 24,159,811.28/4,709.99
  6. Step 6: Final answer
    x = 5,129.49

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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.