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Finding the Fourth Proportional to 5,274.64, 7,914.67 and 2,354.86

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Solution

The fourth proportional to 5,274.64, 7,914.67 and 2,354.86 is: 3,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.64 : 7,914.67 = 2,354.86 : x
  2. Step 2: Convert to fraction form
    5,274.64/7,914.67 = 2,354.86/x
  3. Step 3: Cross multiply
    5,274.64x = 7,914.67 × 2,354.86
  4. Step 4: Simplify right side
    5,274.64x = 18,637,939.80
  5. Step 5: Solve for x
    x = 18,637,939.80/5,274.64
  6. Step 6: Final answer
    x = 3,533.50

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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.