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Finding the Fourth Proportional to 4,903.62, 7,353.30 and 1,782.59

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Solution

The fourth proportional to 4,903.62, 7,353.30 and 1,782.59 is: 2,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.62 : 7,353.30 = 1,782.59 : x
  2. Step 2: Convert to fraction form
    4,903.62/7,353.30 = 1,782.59/x
  3. Step 3: Cross multiply
    4,903.62x = 7,353.30 × 1,782.59
  4. Step 4: Simplify right side
    4,903.62x = 13,107,919.05
  5. Step 5: Solve for x
    x = 13,107,919.05/4,903.62
  6. Step 6: Final answer
    x = 2,673.11

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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.