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Finding the Fourth Proportional to 3,611.48, 5,414.95 and 1,417.66

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Solution

The fourth proportional to 3,611.48, 5,414.95 and 1,417.66 is: 2,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.48 : 5,414.95 = 1,417.66 : x
  2. Step 2: Convert to fraction form
    3,611.48/5,414.95 = 1,417.66/x
  3. Step 3: Cross multiply
    3,611.48x = 5,414.95 × 1,417.66
  4. Step 4: Simplify right side
    3,611.48x = 7,676,561.56
  5. Step 5: Solve for x
    x = 7,676,561.56/3,611.48
  6. Step 6: Final answer
    x = 2,125.60

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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.