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Finding the Fourth Proportional to 5,295.01, 7,936.03 and 1,828.21

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Solution

The fourth proportional to 5,295.01, 7,936.03 and 1,828.21 is: 2,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.01 : 7,936.03 = 1,828.21 : x
  2. Step 2: Convert to fraction form
    5,295.01/7,936.03 = 1,828.21/x
  3. Step 3: Cross multiply
    5,295.01x = 7,936.03 × 1,828.21
  4. Step 4: Simplify right side
    5,295.01x = 14,508,729.41
  5. Step 5: Solve for x
    x = 14,508,729.41/5,295.01
  6. Step 6: Final answer
    x = 2,740.08

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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.