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Finding the Fourth Proportional to 5,052.37, 7,578.90 and 1,542.40

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Solution

The fourth proportional to 5,052.37, 7,578.90 and 1,542.40 is: 2,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.37 : 7,578.90 = 1,542.40 : x
  2. Step 2: Convert to fraction form
    5,052.37/7,578.90 = 1,542.40/x
  3. Step 3: Cross multiply
    5,052.37x = 7,578.90 × 1,542.40
  4. Step 4: Simplify right side
    5,052.37x = 11,689,687.65
  5. Step 5: Solve for x
    x = 11,689,687.65/5,052.37
  6. Step 6: Final answer
    x = 2,313.70

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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.