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Finding the Fourth Proportional to 4,564.22, 6,298.79 and 2,574.86

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Solution

The fourth proportional to 4,564.22, 6,298.79 and 2,574.86 is: 3,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.22 : 6,298.79 = 2,574.86 : x
  2. Step 2: Convert to fraction form
    4,564.22/6,298.79 = 2,574.86/x
  3. Step 3: Cross multiply
    4,564.22x = 6,298.79 × 2,574.86
  4. Step 4: Simplify right side
    4,564.22x = 16,218,458.05
  5. Step 5: Solve for x
    x = 16,218,458.05/4,564.22
  6. Step 6: Final answer
    x = 3,553.39

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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.