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Finding the Fourth Proportional to 3,561.90, 5,346.12 and 1,920.06

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Solution

The fourth proportional to 3,561.90, 5,346.12 and 1,920.06 is: 2,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.90 : 5,346.12 = 1,920.06 : x
  2. Step 2: Convert to fraction form
    3,561.90/5,346.12 = 1,920.06/x
  3. Step 3: Cross multiply
    3,561.90x = 5,346.12 × 1,920.06
  4. Step 4: Simplify right side
    3,561.90x = 10,264,871.17
  5. Step 5: Solve for x
    x = 10,264,871.17/3,561.90
  6. Step 6: Final answer
    x = 2,881.85

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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.