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Finding the Fourth Proportional to 5,138.34, 7,090.98 and 2,900.25

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Solution

The fourth proportional to 5,138.34, 7,090.98 and 2,900.25 is: 4,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.34 : 7,090.98 = 2,900.25 : x
  2. Step 2: Convert to fraction form
    5,138.34/7,090.98 = 2,900.25/x
  3. Step 3: Cross multiply
    5,138.34x = 7,090.98 × 2,900.25
  4. Step 4: Simplify right side
    5,138.34x = 20,565,614.75
  5. Step 5: Solve for x
    x = 20,565,614.75/5,138.34
  6. Step 6: Final answer
    x = 4,002.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.