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Finding the Fourth Proportional to 4,866.89, 7,301.75 and 1,747.04

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Solution

The fourth proportional to 4,866.89, 7,301.75 and 1,747.04 is: 2,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.89 : 7,301.75 = 1,747.04 : x
  2. Step 2: Convert to fraction form
    4,866.89/7,301.75 = 1,747.04/x
  3. Step 3: Cross multiply
    4,866.89x = 7,301.75 × 1,747.04
  4. Step 4: Simplify right side
    4,866.89x = 12,756,404.08
  5. Step 5: Solve for x
    x = 12,756,404.08/4,866.89
  6. Step 6: Final answer
    x = 2,621.06

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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.