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Finding the Fourth Proportional to 4,347.92, 5,999.46 and 2,856.44

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Solution

The fourth proportional to 4,347.92, 5,999.46 and 2,856.44 is: 3,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.92 : 5,999.46 = 2,856.44 : x
  2. Step 2: Convert to fraction form
    4,347.92/5,999.46 = 2,856.44/x
  3. Step 3: Cross multiply
    4,347.92x = 5,999.46 × 2,856.44
  4. Step 4: Simplify right side
    4,347.92x = 17,137,097.52
  5. Step 5: Solve for x
    x = 17,137,097.52/4,347.92
  6. Step 6: Final answer
    x = 3,941.45

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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.