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Finding the Fourth Proportional to 4,729.64, 7,089.19 and 2,259.14

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Solution

The fourth proportional to 4,729.64, 7,089.19 and 2,259.14 is: 3,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.64 : 7,089.19 = 2,259.14 : x
  2. Step 2: Convert to fraction form
    4,729.64/7,089.19 = 2,259.14/x
  3. Step 3: Cross multiply
    4,729.64x = 7,089.19 × 2,259.14
  4. Step 4: Simplify right side
    4,729.64x = 16,015,431.60
  5. Step 5: Solve for x
    x = 16,015,431.60/4,729.64
  6. Step 6: Final answer
    x = 3,386.19

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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.