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Finding the Fourth Proportional to 4,557.36, 6,289.38 and 2,568

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Solution

The fourth proportional to 4,557.36, 6,289.38 and 2,568 is: 3,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.36 : 6,289.38 = 2,568 : x
  2. Step 2: Convert to fraction form
    4,557.36/6,289.38 = 2,568/x
  3. Step 3: Cross multiply
    4,557.36x = 6,289.38 × 2,568
  4. Step 4: Simplify right side
    4,557.36x = 16,151,127.84
  5. Step 5: Solve for x
    x = 16,151,127.84/4,557.36
  6. Step 6: Final answer
    x = 3,543.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.