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Finding the Fourth Proportional to 4,859.64, 7,289.99 and 1,349.67

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Solution

The fourth proportional to 4,859.64, 7,289.99 and 1,349.67 is: 2,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.64 : 7,289.99 = 1,349.67 : x
  2. Step 2: Convert to fraction form
    4,859.64/7,289.99 = 1,349.67/x
  3. Step 3: Cross multiply
    4,859.64x = 7,289.99 × 1,349.67
  4. Step 4: Simplify right side
    4,859.64x = 9,839,080.80
  5. Step 5: Solve for x
    x = 9,839,080.80/4,859.64
  6. Step 6: Final answer
    x = 2,024.65

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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.