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Finding the Fourth Proportional to 3,047.66, 4,571.49 and 739.16

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Solution

The fourth proportional to 3,047.66, 4,571.49 and 739.16 is: 1,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.66 : 4,571.49 = 739.16 : x
  2. Step 2: Convert to fraction form
    3,047.66/4,571.49 = 739.16/x
  3. Step 3: Cross multiply
    3,047.66x = 4,571.49 × 739.16
  4. Step 4: Simplify right side
    3,047.66x = 3,379,047.42
  5. Step 5: Solve for x
    x = 3,379,047.42/3,047.66
  6. Step 6: Final answer
    x = 1,108.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.