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Finding the Fourth Proportional to 3,232.13, 4,847.29 and 891.58

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Solution

The fourth proportional to 3,232.13, 4,847.29 and 891.58 is: 1,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.13 : 4,847.29 = 891.58 : x
  2. Step 2: Convert to fraction form
    3,232.13/4,847.29 = 891.58/x
  3. Step 3: Cross multiply
    3,232.13x = 4,847.29 × 891.58
  4. Step 4: Simplify right side
    3,232.13x = 4,321,746.82
  5. Step 5: Solve for x
    x = 4,321,746.82/3,232.13
  6. Step 6: Final answer
    x = 1,337.12

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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.