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Finding the Fourth Proportional to 5,188.76, 7,783.13 and 1,293.17

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Solution

The fourth proportional to 5,188.76, 7,783.13 and 1,293.17 is: 1,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.76 : 7,783.13 = 1,293.17 : x
  2. Step 2: Convert to fraction form
    5,188.76/7,783.13 = 1,293.17/x
  3. Step 3: Cross multiply
    5,188.76x = 7,783.13 × 1,293.17
  4. Step 4: Simplify right side
    5,188.76x = 10,064,874.54
  5. Step 5: Solve for x
    x = 10,064,874.54/5,188.76
  6. Step 6: Final answer
    x = 1,939.75

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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.