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Finding the Fourth Proportional to 3,616.58, 5,422.80 and 1,666.34

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Solution

The fourth proportional to 3,616.58, 5,422.80 and 1,666.34 is: 2,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.58 : 5,422.80 = 1,666.34 : x
  2. Step 2: Convert to fraction form
    3,616.58/5,422.80 = 1,666.34/x
  3. Step 3: Cross multiply
    3,616.58x = 5,422.80 × 1,666.34
  4. Step 4: Simplify right side
    3,616.58x = 9,036,228.55
  5. Step 5: Solve for x
    x = 9,036,228.55/3,616.58
  6. Step 6: Final answer
    x = 2,498.56

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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.