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Finding the Fourth Proportional to 3,681.42, 5,522.82 and 1,215.60

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Solution

The fourth proportional to 3,681.42, 5,522.82 and 1,215.60 is: 1,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.42 : 5,522.82 = 1,215.60 : x
  2. Step 2: Convert to fraction form
    3,681.42/5,522.82 = 1,215.60/x
  3. Step 3: Cross multiply
    3,681.42x = 5,522.82 × 1,215.60
  4. Step 4: Simplify right side
    3,681.42x = 6,713,539.99
  5. Step 5: Solve for x
    x = 6,713,539.99/3,681.42
  6. Step 6: Final answer
    x = 1,823.63

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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.