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Finding the Fourth Proportional to 5,050.50, 6,970.23 and 2,956.38

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Solution

The fourth proportional to 5,050.50, 6,970.23 and 2,956.38 is: 4,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.50 : 6,970.23 = 2,956.38 : x
  2. Step 2: Convert to fraction form
    5,050.50/6,970.23 = 2,956.38/x
  3. Step 3: Cross multiply
    5,050.50x = 6,970.23 × 2,956.38
  4. Step 4: Simplify right side
    5,050.50x = 20,606,648.57
  5. Step 5: Solve for x
    x = 20,606,648.57/5,050.50
  6. Step 6: Final answer
    x = 4,080.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.