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Finding the Fourth Proportional to 4,574.68, 6,861.22 and 1,287

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Solution

The fourth proportional to 4,574.68, 6,861.22 and 1,287 is: 1,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.68 : 6,861.22 = 1,287 : x
  2. Step 2: Convert to fraction form
    4,574.68/6,861.22 = 1,287/x
  3. Step 3: Cross multiply
    4,574.68x = 6,861.22 × 1,287
  4. Step 4: Simplify right side
    4,574.68x = 8,830,390.14
  5. Step 5: Solve for x
    x = 8,830,390.14/4,574.68
  6. Step 6: Final answer
    x = 1,930.27

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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.