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Finding the Fourth Proportional to 5,062.40, 7,590 and 2,138.48

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Solution

The fourth proportional to 5,062.40, 7,590 and 2,138.48 is: 3,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.40 : 7,590 = 2,138.48 : x
  2. Step 2: Convert to fraction form
    5,062.40/7,590 = 2,138.48/x
  3. Step 3: Cross multiply
    5,062.40x = 7,590 × 2,138.48
  4. Step 4: Simplify right side
    5,062.40x = 16,231,063.20
  5. Step 5: Solve for x
    x = 16,231,063.20/5,062.40
  6. Step 6: Final answer
    x = 3,206.20

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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.