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Finding the Fourth Proportional to 3,164.47, 4,747.01 and 1,217.43

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Solution

The fourth proportional to 3,164.47, 4,747.01 and 1,217.43 is: 1,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.47 : 4,747.01 = 1,217.43 : x
  2. Step 2: Convert to fraction form
    3,164.47/4,747.01 = 1,217.43/x
  3. Step 3: Cross multiply
    3,164.47x = 4,747.01 × 1,217.43
  4. Step 4: Simplify right side
    3,164.47x = 5,779,146.30
  5. Step 5: Solve for x
    x = 5,779,146.30/3,164.47
  6. Step 6: Final answer
    x = 1,826.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.