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Finding the Fourth Proportional to 5,690.44, 7,848.66 and 4,349.08

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Solution

The fourth proportional to 5,690.44, 7,848.66 and 4,349.08 is: 5,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.44 : 7,848.66 = 4,349.08 : x
  2. Step 2: Convert to fraction form
    5,690.44/7,848.66 = 4,349.08/x
  3. Step 3: Cross multiply
    5,690.44x = 7,848.66 × 4,349.08
  4. Step 4: Simplify right side
    5,690.44x = 34,134,450.23
  5. Step 5: Solve for x
    x = 34,134,450.23/5,690.44
  6. Step 6: Final answer
    x = 5,998.56

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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.