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Finding the Fourth Proportional to 5,325,375.60, 7,983,397.80 and 3,193,196.40

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Solution

The fourth proportional to 5,325,375.60, 7,983,397.80 and 3,193,196.40 is: 4,786,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325,375.60 : 7,983,397.80 = 3,193,196.40 : x
  2. Step 2: Convert to fraction form
    5,325,375.60/7,983,397.80 = 3,193,196.40/x
  3. Step 3: Cross multiply
    5,325,375.60x = 7,983,397.80 × 3,193,196.40
  4. Step 4: Simplify right side
    5,325,375.60x = 25,492,557,114,727.92
  5. Step 5: Solve for x
    x = 25,492,557,114,727.92/5,325,375.60
  6. Step 6: Final answer
    x = 4,786,997.02

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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.