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Finding the Fourth Proportional to 5,928.94, 8,893.93 and 1,546.39

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Solution

The fourth proportional to 5,928.94, 8,893.93 and 1,546.39 is: 2,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.94 : 8,893.93 = 1,546.39 : x
  2. Step 2: Convert to fraction form
    5,928.94/8,893.93 = 1,546.39/x
  3. Step 3: Cross multiply
    5,928.94x = 8,893.93 × 1,546.39
  4. Step 4: Simplify right side
    5,928.94x = 13,753,484.41
  5. Step 5: Solve for x
    x = 13,753,484.41/5,928.94
  6. Step 6: Final answer
    x = 2,319.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.