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Finding the Fourth Proportional to 5,051.73, 7,578.04 and 1,542.53

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Solution

The fourth proportional to 5,051.73, 7,578.04 and 1,542.53 is: 2,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.73 : 7,578.04 = 1,542.53 : x
  2. Step 2: Convert to fraction form
    5,051.73/7,578.04 = 1,542.53/x
  3. Step 3: Cross multiply
    5,051.73x = 7,578.04 × 1,542.53
  4. Step 4: Simplify right side
    5,051.73x = 11,689,372.02
  5. Step 5: Solve for x
    x = 11,689,372.02/5,051.73
  6. Step 6: Final answer
    x = 2,313.93

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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.