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Finding the Fourth Proportional to 3,452.60, 5,176.47 and 1,505.36

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Solution

The fourth proportional to 3,452.60, 5,176.47 and 1,505.36 is: 2,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.60 : 5,176.47 = 1,505.36 : x
  2. Step 2: Convert to fraction form
    3,452.60/5,176.47 = 1,505.36/x
  3. Step 3: Cross multiply
    3,452.60x = 5,176.47 × 1,505.36
  4. Step 4: Simplify right side
    3,452.60x = 7,792,450.88
  5. Step 5: Solve for x
    x = 7,792,450.88/3,452.60
  6. Step 6: Final answer
    x = 2,256.98

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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.