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Finding the Fourth Proportional to 4,876.50, 7,315.06 and 1,954.43

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Solution

The fourth proportional to 4,876.50, 7,315.06 and 1,954.43 is: 2,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.50 : 7,315.06 = 1,954.43 : x
  2. Step 2: Convert to fraction form
    4,876.50/7,315.06 = 1,954.43/x
  3. Step 3: Cross multiply
    4,876.50x = 7,315.06 × 1,954.43
  4. Step 4: Simplify right side
    4,876.50x = 14,296,762.35
  5. Step 5: Solve for x
    x = 14,296,762.35/4,876.50
  6. Step 6: Final answer
    x = 2,931.76

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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.