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Finding the Fourth Proportional to 4,158.50, 6,238.71 and 1,422.50

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Solution

The fourth proportional to 4,158.50, 6,238.71 and 1,422.50 is: 2,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.50 : 6,238.71 = 1,422.50 : x
  2. Step 2: Convert to fraction form
    4,158.50/6,238.71 = 1,422.50/x
  3. Step 3: Cross multiply
    4,158.50x = 6,238.71 × 1,422.50
  4. Step 4: Simplify right side
    4,158.50x = 8,874,564.98
  5. Step 5: Solve for x
    x = 8,874,564.98/4,158.50
  6. Step 6: Final answer
    x = 2,134.08

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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.