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Finding the Fourth Proportional to 5,010.98, 7,517.19 and 1,548.50

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Solution

The fourth proportional to 5,010.98, 7,517.19 and 1,548.50 is: 2,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.98 : 7,517.19 = 1,548.50 : x
  2. Step 2: Convert to fraction form
    5,010.98/7,517.19 = 1,548.50/x
  3. Step 3: Cross multiply
    5,010.98x = 7,517.19 × 1,548.50
  4. Step 4: Simplify right side
    5,010.98x = 11,640,368.72
  5. Step 5: Solve for x
    x = 11,640,368.72/5,010.98
  6. Step 6: Final answer
    x = 2,322.97

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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.