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Finding the Fourth Proportional to 4,795.91, 7,193.86 and 1,509.33

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Solution

The fourth proportional to 4,795.91, 7,193.86 and 1,509.33 is: 2,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795.91 : 7,193.86 = 1,509.33 : x
  2. Step 2: Convert to fraction form
    4,795.91/7,193.86 = 1,509.33/x
  3. Step 3: Cross multiply
    4,795.91x = 7,193.86 × 1,509.33
  4. Step 4: Simplify right side
    4,795.91x = 10,857,940.41
  5. Step 5: Solve for x
    x = 10,857,940.41/4,795.91
  6. Step 6: Final answer
    x = 2,264.00

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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.