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Finding the Fourth Proportional to 3,616.90, 5,423.52 and 1,765.24

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Solution

The fourth proportional to 3,616.90, 5,423.52 and 1,765.24 is: 2,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.90 : 5,423.52 = 1,765.24 : x
  2. Step 2: Convert to fraction form
    3,616.90/5,423.52 = 1,765.24/x
  3. Step 3: Cross multiply
    3,616.90x = 5,423.52 × 1,765.24
  4. Step 4: Simplify right side
    3,616.90x = 9,573,807.51
  5. Step 5: Solve for x
    x = 9,573,807.51/3,616.90
  6. Step 6: Final answer
    x = 2,646.97

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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.