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Finding the Fourth Proportional to 5,330.21, 7,355.34 and 2,972.16

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Solution

The fourth proportional to 5,330.21, 7,355.34 and 2,972.16 is: 4,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.21 : 7,355.34 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    5,330.21/7,355.34 = 2,972.16/x
  3. Step 3: Cross multiply
    5,330.21x = 7,355.34 × 2,972.16
  4. Step 4: Simplify right side
    5,330.21x = 21,861,247.33
  5. Step 5: Solve for x
    x = 21,861,247.33/5,330.21
  6. Step 6: Final answer
    x = 4,101.39

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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.