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Finding the Fourth Proportional to 4,675.66, 7,013.50 and 1,213.18

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Solution

The fourth proportional to 4,675.66, 7,013.50 and 1,213.18 is: 1,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.66 : 7,013.50 = 1,213.18 : x
  2. Step 2: Convert to fraction form
    4,675.66/7,013.50 = 1,213.18/x
  3. Step 3: Cross multiply
    4,675.66x = 7,013.50 × 1,213.18
  4. Step 4: Simplify right side
    4,675.66x = 8,508,637.93
  5. Step 5: Solve for x
    x = 8,508,637.93/4,675.66
  6. Step 6: Final answer
    x = 1,819.77

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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.