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Finding the Fourth Proportional to 5,363.21, 7,401.22 and 3,005.35

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Solution

The fourth proportional to 5,363.21, 7,401.22 and 3,005.35 is: 4,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.21 : 7,401.22 = 3,005.35 : x
  2. Step 2: Convert to fraction form
    5,363.21/7,401.22 = 3,005.35/x
  3. Step 3: Cross multiply
    5,363.21x = 7,401.22 × 3,005.35
  4. Step 4: Simplify right side
    5,363.21x = 22,243,258.27
  5. Step 5: Solve for x
    x = 22,243,258.27/5,363.21
  6. Step 6: Final answer
    x = 4,147.38

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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.