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Finding the Fourth Proportional to 4,318.92, 6,462 and 2,564.82

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Solution

The fourth proportional to 4,318.92, 6,462 and 2,564.82 is: 3,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.92 : 6,462 = 2,564.82 : x
  2. Step 2: Convert to fraction form
    4,318.92/6,462 = 2,564.82/x
  3. Step 3: Cross multiply
    4,318.92x = 6,462 × 2,564.82
  4. Step 4: Simplify right side
    4,318.92x = 16,573,866.84
  5. Step 5: Solve for x
    x = 16,573,866.84/4,318.92
  6. Step 6: Final answer
    x = 3,837.50

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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.