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Finding the Fourth Proportional to 3,615.64, 5,423.96 and 1,765.26

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Solution

The fourth proportional to 3,615.64, 5,423.96 and 1,765.26 is: 2,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.64 : 5,423.96 = 1,765.26 : x
  2. Step 2: Convert to fraction form
    3,615.64/5,423.96 = 1,765.26/x
  3. Step 3: Cross multiply
    3,615.64x = 5,423.96 × 1,765.26
  4. Step 4: Simplify right side
    3,615.64x = 9,574,704.04
  5. Step 5: Solve for x
    x = 9,574,704.04/3,615.64
  6. Step 6: Final answer
    x = 2,648.14

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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.