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Finding the Fourth Proportional to 4,870.28, 7,309.20 and 1,950.50

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Solution

The fourth proportional to 4,870.28, 7,309.20 and 1,950.50 is: 2,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.28 : 7,309.20 = 1,950.50 : x
  2. Step 2: Convert to fraction form
    4,870.28/7,309.20 = 1,950.50/x
  3. Step 3: Cross multiply
    4,870.28x = 7,309.20 × 1,950.50
  4. Step 4: Simplify right side
    4,870.28x = 14,256,558.05
  5. Step 5: Solve for x
    x = 14,256,558.05/4,870.28
  6. Step 6: Final answer
    x = 2,927.26

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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.