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Finding the Fourth Proportional to 3,681.40, 5,522.10 and 1,216.30

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Solution

The fourth proportional to 3,681.40, 5,522.10 and 1,216.30 is: 1,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.40 : 5,522.10 = 1,216.30 : x
  2. Step 2: Convert to fraction form
    3,681.40/5,522.10 = 1,216.30/x
  3. Step 3: Cross multiply
    3,681.40x = 5,522.10 × 1,216.30
  4. Step 4: Simplify right side
    3,681.40x = 6,716,530.23
  5. Step 5: Solve for x
    x = 6,716,530.23/3,681.40
  6. Step 6: Final answer
    x = 1,824.45

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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.