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Finding the Fourth Proportional to 4,729.68, 7,092.32 and 1,443.12

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Solution

The fourth proportional to 4,729.68, 7,092.32 and 1,443.12 is: 2,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.68 : 7,092.32 = 1,443.12 : x
  2. Step 2: Convert to fraction form
    4,729.68/7,092.32 = 1,443.12/x
  3. Step 3: Cross multiply
    4,729.68x = 7,092.32 × 1,443.12
  4. Step 4: Simplify right side
    4,729.68x = 10,235,068.84
  5. Step 5: Solve for x
    x = 10,235,068.84/4,729.68
  6. Step 6: Final answer
    x = 2,164.01

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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.