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Finding the Fourth Proportional to 5,041.01, 7,564.16 and 3,665.72

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Solution

The fourth proportional to 5,041.01, 7,564.16 and 3,665.72 is: 5,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.01 : 7,564.16 = 3,665.72 : x
  2. Step 2: Convert to fraction form
    5,041.01/7,564.16 = 3,665.72/x
  3. Step 3: Cross multiply
    5,041.01x = 7,564.16 × 3,665.72
  4. Step 4: Simplify right side
    5,041.01x = 27,728,120.67
  5. Step 5: Solve for x
    x = 27,728,120.67/5,041.01
  6. Step 6: Final answer
    x = 5,500.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.