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Finding the Fourth Proportional to 5,420.98, 7,480.38 and 3,062.67

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Solution

The fourth proportional to 5,420.98, 7,480.38 and 3,062.67 is: 4,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.98 : 7,480.38 = 3,062.67 : x
  2. Step 2: Convert to fraction form
    5,420.98/7,480.38 = 3,062.67/x
  3. Step 3: Cross multiply
    5,420.98x = 7,480.38 × 3,062.67
  4. Step 4: Simplify right side
    5,420.98x = 22,909,935.41
  5. Step 5: Solve for x
    x = 22,909,935.41/5,420.98
  6. Step 6: Final answer
    x = 4,226.16

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Why These Related Problems?

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