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Finding the Fourth Proportional to 3,152.72, 4,729.08 and 1,205.12

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Solution

The fourth proportional to 3,152.72, 4,729.08 and 1,205.12 is: 1,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.72 : 4,729.08 = 1,205.12 : x
  2. Step 2: Convert to fraction form
    3,152.72/4,729.08 = 1,205.12/x
  3. Step 3: Cross multiply
    3,152.72x = 4,729.08 × 1,205.12
  4. Step 4: Simplify right side
    3,152.72x = 5,699,108.89
  5. Step 5: Solve for x
    x = 5,699,108.89/3,152.72
  6. Step 6: Final answer
    x = 1,807.68

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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.