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Finding the Fourth Proportional to 3,667.47, 5,498.76 and 1,720.23

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Solution

The fourth proportional to 3,667.47, 5,498.76 and 1,720.23 is: 2,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.47 : 5,498.76 = 1,720.23 : x
  2. Step 2: Convert to fraction form
    3,667.47/5,498.76 = 1,720.23/x
  3. Step 3: Cross multiply
    3,667.47x = 5,498.76 × 1,720.23
  4. Step 4: Simplify right side
    3,667.47x = 9,459,131.91
  5. Step 5: Solve for x
    x = 9,459,131.91/3,667.47
  6. Step 6: Final answer
    x = 2,579.20

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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.