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Finding the Fourth Proportional to 4,954.34, 7,416.02 and 3,197.00

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Solution

The fourth proportional to 4,954.34, 7,416.02 and 3,197.00 is: 4,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.34 : 7,416.02 = 3,197.00 : x
  2. Step 2: Convert to fraction form
    4,954.34/7,416.02 = 3,197.00/x
  3. Step 3: Cross multiply
    4,954.34x = 7,416.02 × 3,197.00
  4. Step 4: Simplify right side
    4,954.34x = 23,708,962.87
  5. Step 5: Solve for x
    x = 23,708,962.87/4,954.34
  6. Step 6: Final answer
    x = 4,785.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.