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Finding the Fourth Proportional to 3,064.87, 4,597.32 and 873.62

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Solution

The fourth proportional to 3,064.87, 4,597.32 and 873.62 is: 1,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.87 : 4,597.32 = 873.62 : x
  2. Step 2: Convert to fraction form
    3,064.87/4,597.32 = 873.62/x
  3. Step 3: Cross multiply
    3,064.87x = 4,597.32 × 873.62
  4. Step 4: Simplify right side
    3,064.87x = 4,016,287.71
  5. Step 5: Solve for x
    x = 4,016,287.71/3,064.87
  6. Step 6: Final answer
    x = 1,310.43

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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.