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Finding the Fourth Proportional to 4,291.56, 6,441 and 1,696.32

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Solution

The fourth proportional to 4,291.56, 6,441 and 1,696.32 is: 2,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.56 : 6,441 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    4,291.56/6,441 = 1,696.32/x
  3. Step 3: Cross multiply
    4,291.56x = 6,441 × 1,696.32
  4. Step 4: Simplify right side
    4,291.56x = 10,925,997.12
  5. Step 5: Solve for x
    x = 10,925,997.12/4,291.56
  6. Step 6: Final answer
    x = 2,545.93

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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.