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Finding the Fourth Proportional to 4,697.88, 7,051.14 and 2,234.40

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Solution

The fourth proportional to 4,697.88, 7,051.14 and 2,234.40 is: 3,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.88 : 7,051.14 = 2,234.40 : x
  2. Step 2: Convert to fraction form
    4,697.88/7,051.14 = 2,234.40/x
  3. Step 3: Cross multiply
    4,697.88x = 7,051.14 × 2,234.40
  4. Step 4: Simplify right side
    4,697.88x = 15,755,067.22
  5. Step 5: Solve for x
    x = 15,755,067.22/4,697.88
  6. Step 6: Final answer
    x = 3,353.65

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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.