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Finding the Fourth Proportional to 4,722.98, 7,083.50 and 1,604.66

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Solution

The fourth proportional to 4,722.98, 7,083.50 and 1,604.66 is: 2,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.98 : 7,083.50 = 1,604.66 : x
  2. Step 2: Convert to fraction form
    4,722.98/7,083.50 = 1,604.66/x
  3. Step 3: Cross multiply
    4,722.98x = 7,083.50 × 1,604.66
  4. Step 4: Simplify right side
    4,722.98x = 11,366,565.67
  5. Step 5: Solve for x
    x = 11,366,565.67/4,722.98
  6. Step 6: Final answer
    x = 2,406.65

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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.