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Finding the Fourth Proportional to 4,866, 7,299.56 and 1,578.96

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Solution

The fourth proportional to 4,866, 7,299.56 and 1,578.96 is: 2,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866 : 7,299.56 = 1,578.96 : x
  2. Step 2: Convert to fraction form
    4,866/7,299.56 = 1,578.96/x
  3. Step 3: Cross multiply
    4,866x = 7,299.56 × 1,578.96
  4. Step 4: Simplify right side
    4,866x = 11,525,713.26
  5. Step 5: Solve for x
    x = 11,525,713.26/4,866
  6. Step 6: Final answer
    x = 2,368.62

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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.