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Finding the Fourth Proportional to 3,601.86, 5,405.55 and 1,411.14

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Solution

The fourth proportional to 3,601.86, 5,405.55 and 1,411.14 is: 2,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.86 : 5,405.55 = 1,411.14 : x
  2. Step 2: Convert to fraction form
    3,601.86/5,405.55 = 1,411.14/x
  3. Step 3: Cross multiply
    3,601.86x = 5,405.55 × 1,411.14
  4. Step 4: Simplify right side
    3,601.86x = 7,627,987.83
  5. Step 5: Solve for x
    x = 7,627,987.83/3,601.86
  6. Step 6: Final answer
    x = 2,117.79

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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.