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Finding the Fourth Proportional to 5,069.62, 7,604.70 and 1,607.14

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Solution

The fourth proportional to 5,069.62, 7,604.70 and 1,607.14 is: 2,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.62 : 7,604.70 = 1,607.14 : x
  2. Step 2: Convert to fraction form
    5,069.62/7,604.70 = 1,607.14/x
  3. Step 3: Cross multiply
    5,069.62x = 7,604.70 × 1,607.14
  4. Step 4: Simplify right side
    5,069.62x = 12,221,771.50
  5. Step 5: Solve for x
    x = 12,221,771.50/5,069.62
  6. Step 6: Final answer
    x = 2,410.79

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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.