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Finding the Fourth Proportional to 4,870.62, 7,305.84 and 1,583.73

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Solution

The fourth proportional to 4,870.62, 7,305.84 and 1,583.73 is: 2,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.62 : 7,305.84 = 1,583.73 : x
  2. Step 2: Convert to fraction form
    4,870.62/7,305.84 = 1,583.73/x
  3. Step 3: Cross multiply
    4,870.62x = 7,305.84 × 1,583.73
  4. Step 4: Simplify right side
    4,870.62x = 11,570,477.98
  5. Step 5: Solve for x
    x = 11,570,477.98/4,870.62
  6. Step 6: Final answer
    x = 2,375.57

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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.