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Finding the Fourth Proportional to 5,196.93, 7,793.82 and 2,730.40

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Solution

The fourth proportional to 5,196.93, 7,793.82 and 2,730.40 is: 4,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.93 : 7,793.82 = 2,730.40 : x
  2. Step 2: Convert to fraction form
    5,196.93/7,793.82 = 2,730.40/x
  3. Step 3: Cross multiply
    5,196.93x = 7,793.82 × 2,730.40
  4. Step 4: Simplify right side
    5,196.93x = 21,280,246.13
  5. Step 5: Solve for x
    x = 21,280,246.13/5,196.93
  6. Step 6: Final answer
    x = 4,094.77

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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.