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Finding the Fourth Proportional to 5,571.42, 7,688.50 and 3,053.67

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Solution

The fourth proportional to 5,571.42, 7,688.50 and 3,053.67 is: 4,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.42 : 7,688.50 = 3,053.67 : x
  2. Step 2: Convert to fraction form
    5,571.42/7,688.50 = 3,053.67/x
  3. Step 3: Cross multiply
    5,571.42x = 7,688.50 × 3,053.67
  4. Step 4: Simplify right side
    5,571.42x = 23,478,141.80
  5. Step 5: Solve for x
    x = 23,478,141.80/5,571.42
  6. Step 6: Final answer
    x = 4,214.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.