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Finding the Fourth Proportional to 5,293.42, 7,940.13 and 3,117.34

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Solution

The fourth proportional to 5,293.42, 7,940.13 and 3,117.34 is: 4,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.42 : 7,940.13 = 3,117.34 : x
  2. Step 2: Convert to fraction form
    5,293.42/7,940.13 = 3,117.34/x
  3. Step 3: Cross multiply
    5,293.42x = 7,940.13 × 3,117.34
  4. Step 4: Simplify right side
    5,293.42x = 24,752,084.85
  5. Step 5: Solve for x
    x = 24,752,084.85/5,293.42
  6. Step 6: Final answer
    x = 4,676.01

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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.