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Finding the Fourth Proportional to 4,801.65, 7,195.17 and 3,563.25

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Solution

The fourth proportional to 4,801.65, 7,195.17 and 3,563.25 is: 5,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.65 : 7,195.17 = 3,563.25 : x
  2. Step 2: Convert to fraction form
    4,801.65/7,195.17 = 3,563.25/x
  3. Step 3: Cross multiply
    4,801.65x = 7,195.17 × 3,563.25
  4. Step 4: Simplify right side
    4,801.65x = 25,638,189.50
  5. Step 5: Solve for x
    x = 25,638,189.50/4,801.65
  6. Step 6: Final answer
    x = 5,339.45

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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.