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Finding the Fourth Proportional to 5,480.70, 7,564.12 and 3,243.90

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Solution

The fourth proportional to 5,480.70, 7,564.12 and 3,243.90 is: 4,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.70 : 7,564.12 = 3,243.90 : x
  2. Step 2: Convert to fraction form
    5,480.70/7,564.12 = 3,243.90/x
  3. Step 3: Cross multiply
    5,480.70x = 7,564.12 × 3,243.90
  4. Step 4: Simplify right side
    5,480.70x = 24,537,248.87
  5. Step 5: Solve for x
    x = 24,537,248.87/5,480.70
  6. Step 6: Final answer
    x = 4,477.03

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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.