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Finding the Fourth Proportional to 5,796.42, 7,992.72 and 4,307.10

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Solution

The fourth proportional to 5,796.42, 7,992.72 and 4,307.10 is: 5,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.42 : 7,992.72 = 4,307.10 : x
  2. Step 2: Convert to fraction form
    5,796.42/7,992.72 = 4,307.10/x
  3. Step 3: Cross multiply
    5,796.42x = 7,992.72 × 4,307.10
  4. Step 4: Simplify right side
    5,796.42x = 34,425,444.31
  5. Step 5: Solve for x
    x = 34,425,444.31/5,796.42
  6. Step 6: Final answer
    x = 5,939.09

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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.