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Finding the Fourth Proportional to 5,137.84, 7,090.14 and 2,899.90

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Solution

The fourth proportional to 5,137.84, 7,090.14 and 2,899.90 is: 4,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.84 : 7,090.14 = 2,899.90 : x
  2. Step 2: Convert to fraction form
    5,137.84/7,090.14 = 2,899.90/x
  3. Step 3: Cross multiply
    5,137.84x = 7,090.14 × 2,899.90
  4. Step 4: Simplify right side
    5,137.84x = 20,560,696.99
  5. Step 5: Solve for x
    x = 20,560,696.99/5,137.84
  6. Step 6: Final answer
    x = 4,001.82

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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.