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Finding the Fourth Proportional to 5,849.92, 8,068.24 and 4,419.06

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Solution

The fourth proportional to 5,849.92, 8,068.24 and 4,419.06 is: 6,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.92 : 8,068.24 = 4,419.06 : x
  2. Step 2: Convert to fraction form
    5,849.92/8,068.24 = 4,419.06/x
  3. Step 3: Cross multiply
    5,849.92x = 8,068.24 × 4,419.06
  4. Step 4: Simplify right side
    5,849.92x = 35,654,011.92
  5. Step 5: Solve for x
    x = 35,654,011.92/5,849.92
  6. Step 6: Final answer
    x = 6,094.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.