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Finding the Fourth Proportional to 4,139.67, 6,209.60 and 1,542.09

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Solution

The fourth proportional to 4,139.67, 6,209.60 and 1,542.09 is: 2,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.67 : 6,209.60 = 1,542.09 : x
  2. Step 2: Convert to fraction form
    4,139.67/6,209.60 = 1,542.09/x
  3. Step 3: Cross multiply
    4,139.67x = 6,209.60 × 1,542.09
  4. Step 4: Simplify right side
    4,139.67x = 9,575,762.06
  5. Step 5: Solve for x
    x = 9,575,762.06/4,139.67
  6. Step 6: Final answer
    x = 2,313.17

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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.