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Finding the Fourth Proportional to 3,064.39, 4,596.76 and 873.29

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Solution

The fourth proportional to 3,064.39, 4,596.76 and 873.29 is: 1,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.39 : 4,596.76 = 873.29 : x
  2. Step 2: Convert to fraction form
    3,064.39/4,596.76 = 873.29/x
  3. Step 3: Cross multiply
    3,064.39x = 4,596.76 × 873.29
  4. Step 4: Simplify right side
    3,064.39x = 4,014,318.76
  5. Step 5: Solve for x
    x = 4,014,318.76/3,064.39
  6. Step 6: Final answer
    x = 1,309.99

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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.