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Finding the Fourth Proportional to 3,672.44, 5,506.59 and 1,206.60

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Solution

The fourth proportional to 3,672.44, 5,506.59 and 1,206.60 is: 1,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.44 : 5,506.59 = 1,206.60 : x
  2. Step 2: Convert to fraction form
    3,672.44/5,506.59 = 1,206.60/x
  3. Step 3: Cross multiply
    3,672.44x = 5,506.59 × 1,206.60
  4. Step 4: Simplify right side
    3,672.44x = 6,644,256.02
  5. Step 5: Solve for x
    x = 6,644,256.02/3,672.44
  6. Step 6: Final answer
    x = 1,809.22

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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.