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Finding the Fourth Proportional to 3,580.67, 4,941.20 and 1,987.27

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Solution

The fourth proportional to 3,580.67, 4,941.20 and 1,987.27 is: 2,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.67 : 4,941.20 = 1,987.27 : x
  2. Step 2: Convert to fraction form
    3,580.67/4,941.20 = 1,987.27/x
  3. Step 3: Cross multiply
    3,580.67x = 4,941.20 × 1,987.27
  4. Step 4: Simplify right side
    3,580.67x = 9,819,491.14
  5. Step 5: Solve for x
    x = 9,819,491.14/3,580.67
  6. Step 6: Final answer
    x = 2,742.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.