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Finding the Fourth Proportional to 5,047.67, 7,571.88 and 1,349.81

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Solution

The fourth proportional to 5,047.67, 7,571.88 and 1,349.81 is: 2,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.67 : 7,571.88 = 1,349.81 : x
  2. Step 2: Convert to fraction form
    5,047.67/7,571.88 = 1,349.81/x
  3. Step 3: Cross multiply
    5,047.67x = 7,571.88 × 1,349.81
  4. Step 4: Simplify right side
    5,047.67x = 10,220,599.34
  5. Step 5: Solve for x
    x = 10,220,599.34/5,047.67
  6. Step 6: Final answer
    x = 2,024.82

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1.5x scale

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.