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Finding the Fourth Proportional to 4,694, 7,035.80 and 2,380.72

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Solution

The fourth proportional to 4,694, 7,035.80 and 2,380.72 is: 3,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694 : 7,035.80 = 2,380.72 : x
  2. Step 2: Convert to fraction form
    4,694/7,035.80 = 2,380.72/x
  3. Step 3: Cross multiply
    4,694x = 7,035.80 × 2,380.72
  4. Step 4: Simplify right side
    4,694x = 16,750,269.78
  5. Step 5: Solve for x
    x = 16,750,269.78/4,694
  6. Step 6: Final answer
    x = 3,568.44

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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.