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Finding the Fourth Proportional to 4,824.83, 7,232.28 and 2,194.16

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Solution

The fourth proportional to 4,824.83, 7,232.28 and 2,194.16 is: 3,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.83 : 7,232.28 = 2,194.16 : x
  2. Step 2: Convert to fraction form
    4,824.83/7,232.28 = 2,194.16/x
  3. Step 3: Cross multiply
    4,824.83x = 7,232.28 × 2,194.16
  4. Step 4: Simplify right side
    4,824.83x = 15,868,779.48
  5. Step 5: Solve for x
    x = 15,868,779.48/4,824.83
  6. Step 6: Final answer
    x = 3,288.98

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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.