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Finding the Fourth Proportional to 4,761.14, 7,140.98 and 1,839.08

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Solution

The fourth proportional to 4,761.14, 7,140.98 and 1,839.08 is: 2,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.14 : 7,140.98 = 1,839.08 : x
  2. Step 2: Convert to fraction form
    4,761.14/7,140.98 = 1,839.08/x
  3. Step 3: Cross multiply
    4,761.14x = 7,140.98 × 1,839.08
  4. Step 4: Simplify right side
    4,761.14x = 13,132,833.50
  5. Step 5: Solve for x
    x = 13,132,833.50/4,761.14
  6. Step 6: Final answer
    x = 2,758.34

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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.