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Finding the Fourth Proportional to 5,320.01, 7,325.76 and 5,202.00

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Solution

The fourth proportional to 5,320.01, 7,325.76 and 5,202.00 is: 7,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.01 : 7,325.76 = 5,202.00 : x
  2. Step 2: Convert to fraction form
    5,320.01/7,325.76 = 5,202.00/x
  3. Step 3: Cross multiply
    5,320.01x = 7,325.76 × 5,202.00
  4. Step 4: Simplify right side
    5,320.01x = 38,108,540.88
  5. Step 5: Solve for x
    x = 38,108,540.88/5,320.01
  6. Step 6: Final answer
    x = 7,163.25

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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.