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Finding the Fourth Proportional to 4,600.96, 6,335.04 and 4,278.40

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Solution

The fourth proportional to 4,600.96, 6,335.04 and 4,278.40 is: 5,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.96 : 6,335.04 = 4,278.40 : x
  2. Step 2: Convert to fraction form
    4,600.96/6,335.04 = 4,278.40/x
  3. Step 3: Cross multiply
    4,600.96x = 6,335.04 × 4,278.40
  4. Step 4: Simplify right side
    4,600.96x = 27,103,835.14
  5. Step 5: Solve for x
    x = 27,103,835.14/4,600.96
  6. Step 6: Final answer
    x = 5,890.91

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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.