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Finding the Fourth Proportional to 3,611.86, 5,417.97 and 1,146.87

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Solution

The fourth proportional to 3,611.86, 5,417.97 and 1,146.87 is: 1,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.86 : 5,417.97 = 1,146.87 : x
  2. Step 2: Convert to fraction form
    3,611.86/5,417.97 = 1,146.87/x
  3. Step 3: Cross multiply
    3,611.86x = 5,417.97 × 1,146.87
  4. Step 4: Simplify right side
    3,611.86x = 6,213,693.71
  5. Step 5: Solve for x
    x = 6,213,693.71/3,611.86
  6. Step 6: Final answer
    x = 1,720.36

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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.