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Finding the Fourth Proportional to 4,611.06, 6,917.46 and 1,689.52

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Solution

The fourth proportional to 4,611.06, 6,917.46 and 1,689.52 is: 2,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.06 : 6,917.46 = 1,689.52 : x
  2. Step 2: Convert to fraction form
    4,611.06/6,917.46 = 1,689.52/x
  3. Step 3: Cross multiply
    4,611.06x = 6,917.46 × 1,689.52
  4. Step 4: Simplify right side
    4,611.06x = 11,687,187.02
  5. Step 5: Solve for x
    x = 11,687,187.02/4,611.06
  6. Step 6: Final answer
    x = 2,534.60

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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.