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Finding the Fourth Proportional to 3,641.34, 5,462.40 and 1,666.92

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Solution

The fourth proportional to 3,641.34, 5,462.40 and 1,666.92 is: 2,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.34 : 5,462.40 = 1,666.92 : x
  2. Step 2: Convert to fraction form
    3,641.34/5,462.40 = 1,666.92/x
  3. Step 3: Cross multiply
    3,641.34x = 5,462.40 × 1,666.92
  4. Step 4: Simplify right side
    3,641.34x = 9,105,383.81
  5. Step 5: Solve for x
    x = 9,105,383.81/3,641.34
  6. Step 6: Final answer
    x = 2,500.56

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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.