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Finding the Fourth Proportional to 4,535.53, 6,259.02 and 2,546.12

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Solution

The fourth proportional to 4,535.53, 6,259.02 and 2,546.12 is: 3,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.53 : 6,259.02 = 2,546.12 : x
  2. Step 2: Convert to fraction form
    4,535.53/6,259.02 = 2,546.12/x
  3. Step 3: Cross multiply
    4,535.53x = 6,259.02 × 2,546.12
  4. Step 4: Simplify right side
    4,535.53x = 15,936,216.00
  5. Step 5: Solve for x
    x = 15,936,216.00/4,535.53
  6. Step 6: Final answer
    x = 3,513.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.