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Finding the Fourth Proportional to 5,145.54, 7,713 and 2,024.28

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Solution

The fourth proportional to 5,145.54, 7,713 and 2,024.28 is: 3,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.54 : 7,713 = 2,024.28 : x
  2. Step 2: Convert to fraction form
    5,145.54/7,713 = 2,024.28/x
  3. Step 3: Cross multiply
    5,145.54x = 7,713 × 2,024.28
  4. Step 4: Simplify right side
    5,145.54x = 15,613,271.64
  5. Step 5: Solve for x
    x = 15,613,271.64/5,145.54
  6. Step 6: Final answer
    x = 3,034.33

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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.