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Finding the Fourth Proportional to 5,429.88, 7,493.58 and 3,771

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Solution

The fourth proportional to 5,429.88, 7,493.58 and 3,771 is: 5,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.88 : 7,493.58 = 3,771 : x
  2. Step 2: Convert to fraction form
    5,429.88/7,493.58 = 3,771/x
  3. Step 3: Cross multiply
    5,429.88x = 7,493.58 × 3,771
  4. Step 4: Simplify right side
    5,429.88x = 28,258,290.18
  5. Step 5: Solve for x
    x = 28,258,290.18/5,429.88
  6. Step 6: Final answer
    x = 5,204.22

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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.