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Finding the Fourth Proportional to 5,270.08, 7,271.76 and 3,406

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Solution

The fourth proportional to 5,270.08, 7,271.76 and 3,406 is: 4,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.08 : 7,271.76 = 3,406 : x
  2. Step 2: Convert to fraction form
    5,270.08/7,271.76 = 3,406/x
  3. Step 3: Cross multiply
    5,270.08x = 7,271.76 × 3,406
  4. Step 4: Simplify right side
    5,270.08x = 24,767,614.56
  5. Step 5: Solve for x
    x = 24,767,614.56/5,270.08
  6. Step 6: Final answer
    x = 4,699.67

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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.