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Finding the Fourth Proportional to 5,579.78, 7,700.17 and 3,061.84

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Solution

The fourth proportional to 5,579.78, 7,700.17 and 3,061.84 is: 4,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.78 : 7,700.17 = 3,061.84 : x
  2. Step 2: Convert to fraction form
    5,579.78/7,700.17 = 3,061.84/x
  3. Step 3: Cross multiply
    5,579.78x = 7,700.17 × 3,061.84
  4. Step 4: Simplify right side
    5,579.78x = 23,576,681.79
  5. Step 5: Solve for x
    x = 23,576,681.79/5,579.78
  6. Step 6: Final answer
    x = 4,225.38

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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.