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Finding the Fourth Proportional to 5,267.50, 7,898.94 and 1,978.29

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Solution

The fourth proportional to 5,267.50, 7,898.94 and 1,978.29 is: 2,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.50 : 7,898.94 = 1,978.29 : x
  2. Step 2: Convert to fraction form
    5,267.50/7,898.94 = 1,978.29/x
  3. Step 3: Cross multiply
    5,267.50x = 7,898.94 × 1,978.29
  4. Step 4: Simplify right side
    5,267.50x = 15,626,394.01
  5. Step 5: Solve for x
    x = 15,626,394.01/5,267.50
  6. Step 6: Final answer
    x = 2,966.57

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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.