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Finding the Fourth Proportional to 3,615.21, 5,422.74 and 1,667.42

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Solution

The fourth proportional to 3,615.21, 5,422.74 and 1,667.42 is: 2,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.21 : 5,422.74 = 1,667.42 : x
  2. Step 2: Convert to fraction form
    3,615.21/5,422.74 = 1,667.42/x
  3. Step 3: Cross multiply
    3,615.21x = 5,422.74 × 1,667.42
  4. Step 4: Simplify right side
    3,615.21x = 9,041,985.13
  5. Step 5: Solve for x
    x = 9,041,985.13/3,615.21
  6. Step 6: Final answer
    x = 2,501.10

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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.