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Finding the Fourth Proportional to 5,201.30, 7,795.14 and 4,541.51

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Solution

The fourth proportional to 5,201.30, 7,795.14 and 4,541.51 is: 6,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.30 : 7,795.14 = 4,541.51 : x
  2. Step 2: Convert to fraction form
    5,201.30/7,795.14 = 4,541.51/x
  3. Step 3: Cross multiply
    5,201.30x = 7,795.14 × 4,541.51
  4. Step 4: Simplify right side
    5,201.30x = 35,401,667.29
  5. Step 5: Solve for x
    x = 35,401,667.29/5,201.30
  6. Step 6: Final answer
    x = 6,806.32

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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.