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Finding the Fourth Proportional to 5,843.68, 8,060.28 and 3,484

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Solution

The fourth proportional to 5,843.68, 8,060.28 and 3,484 is: 4,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.68 : 8,060.28 = 3,484 : x
  2. Step 2: Convert to fraction form
    5,843.68/8,060.28 = 3,484/x
  3. Step 3: Cross multiply
    5,843.68x = 8,060.28 × 3,484
  4. Step 4: Simplify right side
    5,843.68x = 28,082,015.52
  5. Step 5: Solve for x
    x = 28,082,015.52/5,843.68
  6. Step 6: Final answer
    x = 4,805.54

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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.