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Finding the Fourth Proportional to 4,724.61, 7,086.79 and 1,604.58

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Solution

The fourth proportional to 4,724.61, 7,086.79 and 1,604.58 is: 2,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.61 : 7,086.79 = 1,604.58 : x
  2. Step 2: Convert to fraction form
    4,724.61/7,086.79 = 1,604.58/x
  3. Step 3: Cross multiply
    4,724.61x = 7,086.79 × 1,604.58
  4. Step 4: Simplify right side
    4,724.61x = 11,371,321.50
  5. Step 5: Solve for x
    x = 11,371,321.50/4,724.61
  6. Step 6: Final answer
    x = 2,406.83

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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.