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Finding the Fourth Proportional to 4,893.68, 7,335.52 and 1,930.94

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Solution

The fourth proportional to 4,893.68, 7,335.52 and 1,930.94 is: 2,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.68 : 7,335.52 = 1,930.94 : x
  2. Step 2: Convert to fraction form
    4,893.68/7,335.52 = 1,930.94/x
  3. Step 3: Cross multiply
    4,893.68x = 7,335.52 × 1,930.94
  4. Step 4: Simplify right side
    4,893.68x = 14,164,448.57
  5. Step 5: Solve for x
    x = 14,164,448.57/4,893.68
  6. Step 6: Final answer
    x = 2,894.44

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