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Finding the Fourth Proportional to 5,882.76, 8,113.86 and 3,783.24

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Solution

The fourth proportional to 5,882.76, 8,113.86 and 3,783.24 is: 5,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.76 : 8,113.86 = 3,783.24 : x
  2. Step 2: Convert to fraction form
    5,882.76/8,113.86 = 3,783.24/x
  3. Step 3: Cross multiply
    5,882.76x = 8,113.86 × 3,783.24
  4. Step 4: Simplify right side
    5,882.76x = 30,696,679.71
  5. Step 5: Solve for x
    x = 30,696,679.71/5,882.76
  6. Step 6: Final answer
    x = 5,218.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.