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Finding the Fourth Proportional to 5,138.38, 7,090.98 and 2,780.53

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Solution

The fourth proportional to 5,138.38, 7,090.98 and 2,780.53 is: 3,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.38 : 7,090.98 = 2,780.53 : x
  2. Step 2: Convert to fraction form
    5,138.38/7,090.98 = 2,780.53/x
  3. Step 3: Cross multiply
    5,138.38x = 7,090.98 × 2,780.53
  4. Step 4: Simplify right side
    5,138.38x = 19,716,654.46
  5. Step 5: Solve for x
    x = 19,716,654.46/5,138.38
  6. Step 6: Final answer
    x = 3,837.13

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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.